15x^2+x-11=-5

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Solution for 15x^2+x-11=-5 equation:


Simplifying
15x2 + x + -11 = -5

Reorder the terms:
-11 + x + 15x2 = -5

Solving
-11 + x + 15x2 = -5

Solving for variable 'x'.

Reorder the terms:
-11 + 5 + x + 15x2 = -5 + 5

Combine like terms: -11 + 5 = -6
-6 + x + 15x2 = -5 + 5

Combine like terms: -5 + 5 = 0
-6 + x + 15x2 = 0

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

Subproblem 1

Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667

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 = {-0.6666666667, 0.6}

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