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Simplifying 3x2 + -22x = -2x2 + -5x + -14 Reorder the terms: -22x + 3x2 = -2x2 + -5x + -14 Reorder the terms: -22x + 3x2 = -14 + -5x + -2x2 Solving -22x + 3x2 = -14 + -5x + -2x2 Solving for variable 'x'. Reorder the terms: 14 + -22x + 5x + 3x2 + 2x2 = -14 + -5x + -2x2 + 14 + 5x + 2x2 Combine like terms: -22x + 5x = -17x 14 + -17x + 3x2 + 2x2 = -14 + -5x + -2x2 + 14 + 5x + 2x2 Combine like terms: 3x2 + 2x2 = 5x2 14 + -17x + 5x2 = -14 + -5x + -2x2 + 14 + 5x + 2x2 Reorder the terms: 14 + -17x + 5x2 = -14 + 14 + -5x + 5x + -2x2 + 2x2 Combine like terms: -14 + 14 = 0 14 + -17x + 5x2 = 0 + -5x + 5x + -2x2 + 2x2 14 + -17x + 5x2 = -5x + 5x + -2x2 + 2x2 Combine like terms: -5x + 5x = 0 14 + -17x + 5x2 = 0 + -2x2 + 2x2 14 + -17x + 5x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 14 + -17x + 5x2 = 0 Factor a trinomial. (7 + -5x)(2 + -1x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
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 = 2Solution
x = {1.4, 2}
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