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Simplifying 15x2 = 2(4 + -7x) 15x2 = (4 * 2 + -7x * 2) 15x2 = (8 + -14x) Solving 15x2 = 8 + -14x Solving for variable 'x'. Reorder the terms: -8 + 14x + 15x2 = 8 + -14x + -8 + 14x Reorder the terms: -8 + 14x + 15x2 = 8 + -8 + -14x + 14x Combine like terms: 8 + -8 = 0 -8 + 14x + 15x2 = 0 + -14x + 14x -8 + 14x + 15x2 = -14x + 14x Combine like terms: -14x + 14x = 0 -8 + 14x + 15x2 = 0 Factor a trinomial. (-4 + -3x)(2 + -5x) = 0Subproblem 1
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 = -1.333333333Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-1.333333333, 0.4}
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