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Simplifying -3x2 + -14x + 2 = 2x + -7x2 + 11 Reorder the terms: 2 + -14x + -3x2 = 2x + -7x2 + 11 Reorder the terms: 2 + -14x + -3x2 = 11 + 2x + -7x2 Solving 2 + -14x + -3x2 = 11 + 2x + -7x2 Solving for variable 'x'. Reorder the terms: 2 + -11 + -14x + -2x + -3x2 + 7x2 = 11 + 2x + -7x2 + -11 + -2x + 7x2 Combine like terms: 2 + -11 = -9 -9 + -14x + -2x + -3x2 + 7x2 = 11 + 2x + -7x2 + -11 + -2x + 7x2 Combine like terms: -14x + -2x = -16x -9 + -16x + -3x2 + 7x2 = 11 + 2x + -7x2 + -11 + -2x + 7x2 Combine like terms: -3x2 + 7x2 = 4x2 -9 + -16x + 4x2 = 11 + 2x + -7x2 + -11 + -2x + 7x2 Reorder the terms: -9 + -16x + 4x2 = 11 + -11 + 2x + -2x + -7x2 + 7x2 Combine like terms: 11 + -11 = 0 -9 + -16x + 4x2 = 0 + 2x + -2x + -7x2 + 7x2 -9 + -16x + 4x2 = 2x + -2x + -7x2 + 7x2 Combine like terms: 2x + -2x = 0 -9 + -16x + 4x2 = 0 + -7x2 + 7x2 -9 + -16x + 4x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 -9 + -16x + 4x2 = 0 Factor a trinomial. (-1 + -2x)(9 + -2x) = 0Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-0.5, 4.5}
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