5x^2+7=-36x

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Solution for 5x^2+7=-36x equation:


Simplifying
5x2 + 7 = -36x

Reorder the terms:
7 + 5x2 = -36x

Solving
7 + 5x2 = -36x

Solving for variable 'x'.

Reorder the terms:
7 + 36x + 5x2 = -36x + 36x

Combine like terms: -36x + 36x = 0
7 + 36x + 5x2 = 0

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

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2

Solution

x = {-7, -0.2}

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