12x^2=8x+15

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Solution for 12x^2=8x+15 equation:


Simplifying
12x2 = 8x + 15

Reorder the terms:
12x2 = 15 + 8x

Solving
12x2 = 15 + 8x

Solving for variable 'x'.

Reorder the terms:
-15 + -8x + 12x2 = 15 + 8x + -15 + -8x

Reorder the terms:
-15 + -8x + 12x2 = 15 + -15 + 8x + -8x

Combine like terms: 15 + -15 = 0
-15 + -8x + 12x2 = 0 + 8x + -8x
-15 + -8x + 12x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -8x + 12x2 = 0

Factor a trinomial.
(-5 + -6x)(3 + -2x) = 0

Subproblem 1

Set the factor '(-5 + -6x)' equal to zero and attempt to solve: Simplifying -5 + -6x = 0 Solving -5 + -6x = 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 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {-0.8333333333, 1.5}

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