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

{:[(x-7)(-4x-2)=0],[" lesser "x=◻],[" greater "x=◻]:}

Solve for $x$ . $\newline$ Enter the solutions from least to greatest. $\newline$ $\begin{array}{l} (x-7)(-4 x-2)=0 \\ \text { lesser } x=\square \\ \text { greater } x=\square \end{array}$

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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

\begin{array}{l} (x-7)(-4 x-2)=0 \\ \text { lesser } x=\square \\ \text { greater } x=\square \end{array}

Factored Polynomial Equation: Factored polynomial: x - \(7)( $-4$ x - $2$ ) = $0$ (\newline\)Which equation finds the roots for this polynomial? $\newline$ Set the polynomial equal to zero. $\newline$ x - \(7)( $-4$ x - $2$ ) = $0$ \
First Root Calculation: First root: $x - 7 = 0$ $\newline$ What is the value of $x$ ? $\newline$ $x - 7 = 0$ $\newline$ $x - 7 + 7 = 0 + 7$ $\newline$ $x = 7$
Second Root Calculation: Second root: $-4x - 2 = 0$ $\newline$ What is the value of $x$ ? $\newline$ $-4x - 2 = 0$ $\newline$ $-4x - 2 + 2 = 0 + 2$ $\newline$ $-4x = 2$ $\newline$ $x = \frac{2}{-4}$ $\newline$ $x = -\frac{1}{2}$
Ordering Roots: We have found two roots: $\newline$ $x = 7$ $\newline$ $x = -\frac{1}{2}$ $\newline$ Now we need to write the roots in order from least to greatest. $\newline$ $x = -\frac{1}{2}$ (lesser) $\newline$ $x = 7$ (greater)

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