15x^2=-11x+12

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Solution for 15x^2=-11x+12 equation:


Simplifying
15x2 = -11x + 12

Reorder the terms:
15x2 = 12 + -11x

Solving
15x2 = 12 + -11x

Solving for variable 'x'.

Reorder the terms:
-12 + 11x + 15x2 = 12 + -11x + -12 + 11x

Reorder the terms:
-12 + 11x + 15x2 = 12 + -12 + -11x + 11x

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

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

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

Subproblem 1

Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333

Subproblem 2

Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Solution

x = {-1.333333333, 0.6}

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