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Simplifying 15x2 = 17x + -4 Reorder the terms: 15x2 = -4 + 17x Solving 15x2 = -4 + 17x Solving for variable 'x'. Reorder the terms: 4 + -17x + 15x2 = -4 + 17x + 4 + -17x Reorder the terms: 4 + -17x + 15x2 = -4 + 4 + 17x + -17x Combine like terms: -4 + 4 = 0 4 + -17x + 15x2 = 0 + 17x + -17x 4 + -17x + 15x2 = 17x + -17x Combine like terms: 17x + -17x = 0 4 + -17x + 15x2 = 0 Factor a trinomial. (1 + -3x)(4 + -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 '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Solution
x = {0.3333333333, 0.8}
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