-3=12x^2+13x

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Solution for -3=12x^2+13x equation:


Simplifying
-3 = 12x2 + 13x

Reorder the terms:
-3 = 13x + 12x2

Solving
-3 = 13x + 12x2

Solving for variable 'x'.

Reorder the terms:
-3 + -13x + -12x2 = 13x + -13x + 12x2 + -12x2

Combine like terms: 13x + -13x = 0
-3 + -13x + -12x2 = 0 + 12x2 + -12x2
-3 + -13x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-3 + -13x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 13x + 12x2) = 0

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

Ignore the factor -1.

Subproblem 1

Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333

Solution

x = {-0.75, -0.3333333333}

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