2(x+2)(x+5)=

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


Simplifying
2(x + 2)(x + 5) = 0

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

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

Multiply (2 + x) * (5 + x)
2(2(5 + x) + x(5 + x)) = 0
2((5 * 2 + x * 2) + x(5 + x)) = 0
2((10 + 2x) + x(5 + x)) = 0
2(10 + 2x + (5 * x + x * x)) = 0
2(10 + 2x + (5x + x2)) = 0

Combine like terms: 2x + 5x = 7x
2(10 + 7x + x2) = 0
(10 * 2 + 7x * 2 + x2 * 2) = 0
(20 + 14x + 2x2) = 0

Solving
20 + 14x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 7x + x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-5, -2}

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