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Simplifying 4x2 = 24x + 28 Reorder the terms: 4x2 = 28 + 24x Solving 4x2 = 28 + 24x Solving for variable 'x'. Reorder the terms: -28 + -24x + 4x2 = 28 + 24x + -28 + -24x Reorder the terms: -28 + -24x + 4x2 = 28 + -28 + 24x + -24x Combine like terms: 28 + -28 = 0 -28 + -24x + 4x2 = 0 + 24x + -24x -28 + -24x + 4x2 = 24x + -24x Combine like terms: 24x + -24x = 0 -28 + -24x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + -6x + x2) = 0 Factor a trinomial. 4((-1 + -1x)(7 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 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 = {-1, 7}
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