5x^2+5=-10x

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Solution for 5x^2+5=-10x equation:


Simplifying
5x2 + 5 = -10x

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

Solving
5 + 5x2 = -10x

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '5'.
5(1 + 2x + x2) = 0

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

Ignore the factor 5.

Subproblem 1

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

Subproblem 2

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

Solution

x = {-1, -1}

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