5x^2+12x=-4

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Solution for 5x^2+12x=-4 equation:


Simplifying
5x2 + 12x = -4

Reorder the terms:
12x + 5x2 = -4

Solving
12x + 5x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + 12x + 5x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 12x + 5x2 = 0

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

Subproblem 1

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

Subproblem 2

Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4

Solution

x = {-2, -0.4}

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