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When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?
Original Equation:

-4x+x^(2)+5=0
First Step:

x^(2)-4x+5=0
commutative property of addition
distributive property of multiplication over addition
associative property of multiplication
addition property of equality

When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?\newlineOriginal Equation:\newline4x+x2+5=0 -4 x+x^{2}+5=0 \newlineFirst Step:\newlinex24x+5=0 x^{2}-4 x+5=0 \newlinecommutative property of addition\newlinedistributive property of multiplication over addition\newlineassociative property of multiplication\newlineaddition property of equality

Full solution

Q. When solving an equation, Drew's first step is shown below. Which property justifies Drew's first step?\newlineOriginal Equation:\newline4x+x2+5=0 -4 x+x^{2}+5=0 \newlineFirst Step:\newlinex24x+5=0 x^{2}-4 x+5=0 \newlinecommutative property of addition\newlinedistributive property of multiplication over addition\newlineassociative property of multiplication\newlineaddition property of equality
  1. Rearranging terms: Drew's first step is rearranging the terms of the equation from 4x+x2+5=0-4x + x^2 + 5 = 0 to x24x+5=0x^2 - 4x + 5 = 0. This step involves moving terms around without changing their values or the operation between them. The property that allows the rearrangement of terms in an addition or subtraction operation is the commutative property of addition.

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