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Simplifying -10x2 = 19x + -15 Reorder the terms: -10x2 = -15 + 19x Solving -10x2 = -15 + 19x Solving for variable 'x'. Reorder the terms: 15 + -19x + -10x2 = -15 + 19x + 15 + -19x Reorder the terms: 15 + -19x + -10x2 = -15 + 15 + 19x + -19x Combine like terms: -15 + 15 = 0 15 + -19x + -10x2 = 0 + 19x + -19x 15 + -19x + -10x2 = 19x + -19x Combine like terms: 19x + -19x = 0 15 + -19x + -10x2 = 0 Factor a trinomial. (3 + -5x)(5 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {0.6, -2.5}
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