3x^2+10x-12=-4

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Solution for 3x^2+10x-12=-4 equation:


Simplifying
3x2 + 10x + -12 = -4

Reorder the terms:
-12 + 10x + 3x2 = -4

Solving
-12 + 10x + 3x2 = -4

Solving for variable 'x'.

Reorder the terms:
-12 + 4 + 10x + 3x2 = -4 + 4

Combine like terms: -12 + 4 = -8
-8 + 10x + 3x2 = -4 + 4

Combine like terms: -4 + 4 = 0
-8 + 10x + 3x2 = 0

Factor a trinomial.
(-4 + -1x)(2 + -3x) = 0

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 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {-4, 0.6666666667}

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