(5x+2)+(x^2-16)=

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Solution for (5x+2)+(x^2-16)= equation:


Simplifying
(5x + 2) + (x2 + -16) = 0

Reorder the terms:
(2 + 5x) + (x2 + -16) = 0

Remove parenthesis around (2 + 5x)
2 + 5x + (x2 + -16) = 0

Reorder the terms:
2 + 5x + (-16 + x2) = 0

Remove parenthesis around (-16 + x2)
2 + 5x + -16 + x2 = 0

Reorder the terms:
2 + -16 + 5x + x2 = 0

Combine like terms: 2 + -16 = -14
-14 + 5x + x2 = 0

Solving
-14 + 5x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-7, 2}

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