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Simplifying x[3 + -2x] + 5[3 + -2x] = 0 [3 * x + -2x * x] + 5[3 + -2x] = 0 [3x + -2x2] + 5[3 + -2x] = 0 3x + -2x2 + [3 * 5 + -2x * 5] = 0 3x + -2x2 + [15 + -10x] = 0 Reorder the terms: 15 + 3x + -10x + -2x2 = 0 Combine like terms: 3x + -10x = -7x 15 + -7x + -2x2 = 0 Solving 15 + -7x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(5 + x) = 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {1.5, -5}
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