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Simplifying 2x2 + -28x = -6x2 + -5x + -14 Reorder the terms: -28x + 2x2 = -6x2 + -5x + -14 Reorder the terms: -28x + 2x2 = -14 + -5x + -6x2 Solving -28x + 2x2 = -14 + -5x + -6x2 Solving for variable 'x'. Reorder the terms: 14 + -28x + 5x + 2x2 + 6x2 = -14 + -5x + -6x2 + 14 + 5x + 6x2 Combine like terms: -28x + 5x = -23x 14 + -23x + 2x2 + 6x2 = -14 + -5x + -6x2 + 14 + 5x + 6x2 Combine like terms: 2x2 + 6x2 = 8x2 14 + -23x + 8x2 = -14 + -5x + -6x2 + 14 + 5x + 6x2 Reorder the terms: 14 + -23x + 8x2 = -14 + 14 + -5x + 5x + -6x2 + 6x2 Combine like terms: -14 + 14 = 0 14 + -23x + 8x2 = 0 + -5x + 5x + -6x2 + 6x2 14 + -23x + 8x2 = -5x + 5x + -6x2 + 6x2 Combine like terms: -5x + 5x = 0 14 + -23x + 8x2 = 0 + -6x2 + 6x2 14 + -23x + 8x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 14 + -23x + 8x2 = 0 Factor a trinomial. (7 + -8x)(2 + -1x) = 0Subproblem 1
Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 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 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875Subproblem 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 = {0.875, 2}
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