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Simplifying 15x2 = 16x + 7 Reorder the terms: 15x2 = 7 + 16x Solving 15x2 = 7 + 16x Solving for variable 'x'. Reorder the terms: -7 + -16x + 15x2 = 7 + 16x + -7 + -16x Reorder the terms: -7 + -16x + 15x2 = 7 + -7 + 16x + -16x Combine like terms: 7 + -7 = 0 -7 + -16x + 15x2 = 0 + 16x + -16x -7 + -16x + 15x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -7 + -16x + 15x2 = 0 Factor a trinomial. (-1 + -3x)(7 + -5x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {-0.3333333333, 1.4}
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