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Simplifying 5x2 + -10x = 2x2 + 3x + 10 Reorder the terms: -10x + 5x2 = 2x2 + 3x + 10 Reorder the terms: -10x + 5x2 = 10 + 3x + 2x2 Solving -10x + 5x2 = 10 + 3x + 2x2 Solving for variable 'x'. Reorder the terms: -10 + -10x + -3x + 5x2 + -2x2 = 10 + 3x + 2x2 + -10 + -3x + -2x2 Combine like terms: -10x + -3x = -13x -10 + -13x + 5x2 + -2x2 = 10 + 3x + 2x2 + -10 + -3x + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 -10 + -13x + 3x2 = 10 + 3x + 2x2 + -10 + -3x + -2x2 Reorder the terms: -10 + -13x + 3x2 = 10 + -10 + 3x + -3x + 2x2 + -2x2 Combine like terms: 10 + -10 = 0 -10 + -13x + 3x2 = 0 + 3x + -3x + 2x2 + -2x2 -10 + -13x + 3x2 = 3x + -3x + 2x2 + -2x2 Combine like terms: 3x + -3x = 0 -10 + -13x + 3x2 = 0 + 2x2 + -2x2 -10 + -13x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -10 + -13x + 3x2 = 0 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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