Substitute x into expression: Substitute the value of x into the expression. We have the expression 2x^2 + 3x - 8 and we need to substitute x = -4 into it. Calculation: 2(-4)^2 + 3(-4) - 8Calculate square of -4: Calculate the square of -4. (-4)^2 = 16 Now the expression becomes 2(16) + 3(-4) - 8.Multiply 2 by 16: Multiply 2 by 16. 2 * 16 = 32 Now the expression becomes 32 + 3(-4) - 8.Multiply 3 by -4: Multiply 3 by -4. 3 * -4 = -12 Now the expression becomes 32 - 12 - 8.Subtract 12 from 32: Subtract 12 from 32. 32 - 12 = 20 Now the expression becomes 20 - 8.Subtract 8 from 20: Subtract 8 from 20. 20 - 8 = 12 This is the final value of the expression when x = -4.

Algebra 2

Factor sums and differences of cubes

Full solution

2x^2+3x-8

when

x= -4

Substitute $x$ into expression: Substitute the value of $x$ into the expression. $\newline$ We have the expression $2x^2 + 3x - 8$ and we need to substitute $x = -4$ into it. $\newline$ Calculation: $2(-4)^2 + 3(-4) - 8$
Calculate square of $-4$ : Calculate the square of $-4$ . $(-4)^2 = 16$ Now the expression becomes $2(16) + 3(-4) - 8$ .
Multiply $2$ by $16$ : Multiply $2$ by $16$ . $\newline$ $2 \times 16 = 32$ $\newline$ Now the expression becomes $32 + 3(-4) - 8$ .
Multiply $3$ by $-4$ : Multiply $3$ by $-4$ . $\newline$ $3 \times -4 = -12$ $\newline$ Now the expression becomes $32 - 12 - 8$ .
Subtract $12$ from $32$ : Subtract $12$ from $32$ . $\newline$ $32 - 12 = 20$ $\newline$ Now the expression becomes $20 - 8$ .
Subtract $8$ from $20$ : Subtract $8$ from $20$ . $\newline$ $20 - 8 = 12$ $\newline$ This is the final value of the expression when $x = -4$ .