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Simplifying 5x(x + -2) + -3(x + -2) = 0 Reorder the terms: 5x(-2 + x) + -3(x + -2) = 0 (-2 * 5x + x * 5x) + -3(x + -2) = 0 (-10x + 5x2) + -3(x + -2) = 0 Reorder the terms: -10x + 5x2 + -3(-2 + x) = 0 -10x + 5x2 + (-2 * -3 + x * -3) = 0 -10x + 5x2 + (6 + -3x) = 0 Reorder the terms: 6 + -10x + -3x + 5x2 = 0 Combine like terms: -10x + -3x = -13x 6 + -13x + 5x2 = 0 Solving 6 + -13x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x)(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.6, 2}
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