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Simplifying 2(5x2 + -6) = -1x(5x + -11) Reorder the terms: 2(-6 + 5x2) = -1x(5x + -11) (-6 * 2 + 5x2 * 2) = -1x(5x + -11) (-12 + 10x2) = -1x(5x + -11) Reorder the terms: -12 + 10x2 = -1x(-11 + 5x) -12 + 10x2 = (-11 * -1x + 5x * -1x) -12 + 10x2 = (11x + -5x2) Solving -12 + 10x2 = 11x + -5x2 Solving for variable 'x'. Reorder the terms: -12 + -11x + 10x2 + 5x2 = 11x + -5x2 + -11x + 5x2 Combine like terms: 10x2 + 5x2 = 15x2 -12 + -11x + 15x2 = 11x + -5x2 + -11x + 5x2 Reorder the terms: -12 + -11x + 15x2 = 11x + -11x + -5x2 + 5x2 Combine like terms: 11x + -11x = 0 -12 + -11x + 15x2 = 0 + -5x2 + 5x2 -12 + -11x + 15x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -12 + -11x + 15x2 = 0 Factor a trinomial. (-3 + -5x)(4 + -3x) = 0Subproblem 1
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 = -0.6Subproblem 2
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 = 1.333333333Solution
x = {-0.6, 1.333333333}
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