12x^2+16x-15=5x

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Solution for 12x^2+16x-15=5x equation: 


Simplifying
12x2 + 16x + -15 = 5x

Reorder the terms:
-15 + 16x + 12x2 = 5x

Solving
-15 + 16x + 12x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-15 + 16x + -5x + 12x2 = 5x + -5x

Combine like terms: 16x + -5x = 11x
-15 + 11x + 12x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + 11x + 12x2 = 0

Factor a trinomial.
(-5 + -3x)(3 + -4x) = 0


Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
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
Solution
x = {-1.666666667, 0.75}

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