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Simplifying 3x2 + 8x + -3 = 2x2 + 14x + -11 Reorder the terms: -3 + 8x + 3x2 = 2x2 + 14x + -11 Reorder the terms: -3 + 8x + 3x2 = -11 + 14x + 2x2 Solving -3 + 8x + 3x2 = -11 + 14x + 2x2 Solving for variable 'x'. Reorder the terms: -3 + 11 + 8x + -14x + 3x2 + -2x2 = -11 + 14x + 2x2 + 11 + -14x + -2x2 Combine like terms: -3 + 11 = 8 8 + 8x + -14x + 3x2 + -2x2 = -11 + 14x + 2x2 + 11 + -14x + -2x2 Combine like terms: 8x + -14x = -6x 8 + -6x + 3x2 + -2x2 = -11 + 14x + 2x2 + 11 + -14x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 8 + -6x + 1x2 = -11 + 14x + 2x2 + 11 + -14x + -2x2 Reorder the terms: 8 + -6x + 1x2 = -11 + 11 + 14x + -14x + 2x2 + -2x2 Combine like terms: -11 + 11 = 0 8 + -6x + 1x2 = 0 + 14x + -14x + 2x2 + -2x2 8 + -6x + 1x2 = 14x + -14x + 2x2 + -2x2 Combine like terms: 14x + -14x = 0 8 + -6x + 1x2 = 0 + 2x2 + -2x2 8 + -6x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 8 + -6x + 1x2 = 0 Factor a trinomial. (2 + -1x)(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {2, 4}
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