5x(x+2)=40

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Solution for 5x(x+2)=40 equation:


Simplifying
5x(x + 2) = 40

Reorder the terms:
5x(2 + x) = 40
(2 * 5x + x * 5x) = 40
(10x + 5x2) = 40

Solving
10x + 5x2 = 40

Solving for variable 'x'.

Reorder the terms:
-40 + 10x + 5x2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 10x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + 2x + x2) = 0

Factor a trinomial.
5((-4 + -1x)(2 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4

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 = {-4, 2}

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