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Simplifying 3x(x + -5) + 10 + -2x = 0 Reorder the terms: 3x(-5 + x) + 10 + -2x = 0 (-5 * 3x + x * 3x) + 10 + -2x = 0 (-15x + 3x2) + 10 + -2x = 0 Reorder the terms: 10 + -15x + -2x + 3x2 = 0 Combine like terms: -15x + -2x = -17x 10 + -17x + 3x2 = 0 Solving 10 + -17x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(5 + -1x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {0.6666666667, 5}
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