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Simplifying 9x2 + -14x + -3 = 7x2 + -13x + 7 Reorder the terms: -3 + -14x + 9x2 = 7x2 + -13x + 7 Reorder the terms: -3 + -14x + 9x2 = 7 + -13x + 7x2 Solving -3 + -14x + 9x2 = 7 + -13x + 7x2 Solving for variable 'x'. Reorder the terms: -3 + -7 + -14x + 13x + 9x2 + -7x2 = 7 + -13x + 7x2 + -7 + 13x + -7x2 Combine like terms: -3 + -7 = -10 -10 + -14x + 13x + 9x2 + -7x2 = 7 + -13x + 7x2 + -7 + 13x + -7x2 Combine like terms: -14x + 13x = -1x -10 + -1x + 9x2 + -7x2 = 7 + -13x + 7x2 + -7 + 13x + -7x2 Combine like terms: 9x2 + -7x2 = 2x2 -10 + -1x + 2x2 = 7 + -13x + 7x2 + -7 + 13x + -7x2 Reorder the terms: -10 + -1x + 2x2 = 7 + -7 + -13x + 13x + 7x2 + -7x2 Combine like terms: 7 + -7 = 0 -10 + -1x + 2x2 = 0 + -13x + 13x + 7x2 + -7x2 -10 + -1x + 2x2 = -13x + 13x + 7x2 + -7x2 Combine like terms: -13x + 13x = 0 -10 + -1x + 2x2 = 0 + 7x2 + -7x2 -10 + -1x + 2x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -10 + -1x + 2x2 = 0 Factor a trinomial. (-2 + -1x)(5 + -2x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 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 = {-2, 2.5}
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