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Simplifying 2x(x + -3) + 5(3 + -1x) = 0 Reorder the terms: 2x(-3 + x) + 5(3 + -1x) = 0 (-3 * 2x + x * 2x) + 5(3 + -1x) = 0 (-6x + 2x2) + 5(3 + -1x) = 0 -6x + 2x2 + (3 * 5 + -1x * 5) = 0 -6x + 2x2 + (15 + -5x) = 0 Reorder the terms: 15 + -6x + -5x + 2x2 = 0 Combine like terms: -6x + -5x = -11x 15 + -11x + 2x2 = 0 Solving 15 + -11x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -2x)(3 + -1x) = 0Subproblem 1
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 = 2.5Subproblem 2
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 = 3Solution
x = {2.5, 3}
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