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Simplifying 2x2 + -26x = -2x2 + -3x + -28 Reorder the terms: -26x + 2x2 = -2x2 + -3x + -28 Reorder the terms: -26x + 2x2 = -28 + -3x + -2x2 Solving -26x + 2x2 = -28 + -3x + -2x2 Solving for variable 'x'. Reorder the terms: 28 + -26x + 3x + 2x2 + 2x2 = -28 + -3x + -2x2 + 28 + 3x + 2x2 Combine like terms: -26x + 3x = -23x 28 + -23x + 2x2 + 2x2 = -28 + -3x + -2x2 + 28 + 3x + 2x2 Combine like terms: 2x2 + 2x2 = 4x2 28 + -23x + 4x2 = -28 + -3x + -2x2 + 28 + 3x + 2x2 Reorder the terms: 28 + -23x + 4x2 = -28 + 28 + -3x + 3x + -2x2 + 2x2 Combine like terms: -28 + 28 = 0 28 + -23x + 4x2 = 0 + -3x + 3x + -2x2 + 2x2 28 + -23x + 4x2 = -3x + 3x + -2x2 + 2x2 Combine like terms: -3x + 3x = 0 28 + -23x + 4x2 = 0 + -2x2 + 2x2 28 + -23x + 4x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 28 + -23x + 4x2 = 0 Factor a trinomial. (7 + -4x)(4 + -1x) = 0Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Subproblem 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 = {1.75, 4}
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