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Simplifying 10x(x + 2) = 3(3x + 2) Reorder the terms: 10x(2 + x) = 3(3x + 2) (2 * 10x + x * 10x) = 3(3x + 2) (20x + 10x2) = 3(3x + 2) Reorder the terms: 20x + 10x2 = 3(2 + 3x) 20x + 10x2 = (2 * 3 + 3x * 3) 20x + 10x2 = (6 + 9x) Solving 20x + 10x2 = 6 + 9x Solving for variable 'x'. Reorder the terms: -6 + 20x + -9x + 10x2 = 6 + 9x + -6 + -9x Combine like terms: 20x + -9x = 11x -6 + 11x + 10x2 = 6 + 9x + -6 + -9x Reorder the terms: -6 + 11x + 10x2 = 6 + -6 + 9x + -9x Combine like terms: 6 + -6 = 0 -6 + 11x + 10x2 = 0 + 9x + -9x -6 + 11x + 10x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -6 + 11x + 10x2 = 0 Factor a trinomial. (-3 + -2x)(2 + -5x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 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 = {-1.5, 0.4}
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