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Simplifying 5x2 + -11x = 4x2 + -28 Reorder the terms: -11x + 5x2 = 4x2 + -28 Reorder the terms: -11x + 5x2 = -28 + 4x2 Solving -11x + 5x2 = -28 + 4x2 Solving for variable 'x'. Reorder the terms: 28 + -11x + 5x2 + -4x2 = -28 + 4x2 + 28 + -4x2 Combine like terms: 5x2 + -4x2 = 1x2 28 + -11x + 1x2 = -28 + 4x2 + 28 + -4x2 Reorder the terms: 28 + -11x + 1x2 = -28 + 28 + 4x2 + -4x2 Combine like terms: -28 + 28 = 0 28 + -11x + 1x2 = 0 + 4x2 + -4x2 28 + -11x + 1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 28 + -11x + 1x2 = 0 Factor a trinomial. (4 + -1x)(7 + -1x) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {4, 7}
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