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Simplifying 15((x2) + -1) = 16x 15(x2 + -1) = 16x Reorder the terms: 15(-1 + x2) = 16x (-1 * 15 + x2 * 15) = 16x (-15 + 15x2) = 16x Solving -15 + 15x2 = 16x Solving for variable 'x'. Reorder the terms: -15 + -16x + 15x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -15 + -16x + 15x2 = 0 Factor a trinomial. (-3 + -5x)(5 + -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 '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-0.6, 1.666666667}
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