-15=13x-6x^2

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Solution for -15=13x-6x^2 equation:


Simplifying
-15 = 13x + -6x2

Solving
-15 = 13x + -6x2

Solving for variable 'x'.

Reorder the terms:
-15 + -13x + 6x2 = 13x + -13x + -6x2 + 6x2

Combine like terms: 13x + -13x = 0
-15 + -13x + 6x2 = 0 + -6x2 + 6x2
-15 + -13x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
-15 + -13x + 6x2 = 0

Factor a trinomial.
(-5 + -6x)(3 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-0.8333333333, 3}

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