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Solve for
x.
Enter the solutions from least to greatest.

{:[(2x+4)(3x-2)=0],[" lesser "x=◻],[" greater "x=◻]:}

Solve for $x$ . $\newline$ Enter the solutions from least to greatest. $\newline$ $(2 x+4)(3 x-2)=0$ $\newline$ lesser $x=$ $\newline$ greater $x=$

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Find the roots of factored polynomials

Full solution

Q. Solve for

x

.

\newline

Enter the solutions from least to greatest.

\newline

(2 x+4)(3 x-2)=0

\newline

lesser

x=

\newline

greater

x=

Factored Polynomial: Factored polynomial: $(2x+4)(3x-2)$ $\newline$ Which equation finds the roots for this polynomial? $\newline$ Set the polynomial equal to zero. $\newline$ $(2x+4)(3x-2) = 0$
Setting the Polynomial Equal to Zero: $2x + 4 = 0$
What is the value of $x$ ?
$2x + 4 = 0$
$2x = -4$
$x = \frac{-4}{2}$
$x = -2$
Solving for x in the First Equation: $3x - 2 = 0$
What is the value of $x$ ?
$3x - 2 = 0$
$3x = 2$
$x = \frac{2}{3}$
$x = \frac{2}{3}$
Solving for x in the Second Equation: We have found two roots: $\newline$ x = $-2$ $\newline$ x = $\frac{2}{3}$ $\newline$ Now we need to write the roots from least to greatest. $\newline$ $-2$ is less than $\frac{2}{3}$ , so the order is correct.

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