x(2x+8)=714

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Solution for x(2x+8)=714 equation:


Simplifying
x(2x + 8) = 714

Reorder the terms:
x(8 + 2x) = 714
(8 * x + 2x * x) = 714
(8x + 2x2) = 714

Solving
8x + 2x2 = 714

Solving for variable 'x'.

Reorder the terms:
-714 + 8x + 2x2 = 714 + -714

Combine like terms: 714 + -714 = 0
-714 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-357 + 4x + x2) = 0

Factor a trinomial.
2((-21 + -1x)(17 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-21 + -1x)' equal to zero and attempt to solve: Simplifying -21 + -1x = 0 Solving -21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 0 + 21 -1x = 0 + 21 Combine like terms: 0 + 21 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21

Subproblem 2

Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17

Solution

x = {-21, 17}

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