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Simplifying 2x(x + 3) + -5(x + 3) = 0 Reorder the terms: 2x(3 + x) + -5(x + 3) = 0 (3 * 2x + x * 2x) + -5(x + 3) = 0 (6x + 2x2) + -5(x + 3) = 0 Reorder the terms: 6x + 2x2 + -5(3 + x) = 0 6x + 2x2 + (3 * -5 + x * -5) = 0 6x + 2x2 + (-15 + -5x) = 0 Reorder the terms: -15 + 6x + -5x + 2x2 = 0 Combine like terms: 6x + -5x = 1x -15 + 1x + 2x2 = 0 Solving -15 + 1x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(5 + -2x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 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 = {-3, 2.5}
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