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Simplifying 3x2 + 80 = 4x2 + 16x Reorder the terms: 80 + 3x2 = 4x2 + 16x Reorder the terms: 80 + 3x2 = 16x + 4x2 Solving 80 + 3x2 = 16x + 4x2 Solving for variable 'x'. Reorder the terms: 80 + -16x + 3x2 + -4x2 = 16x + 4x2 + -16x + -4x2 Combine like terms: 3x2 + -4x2 = -1x2 80 + -16x + -1x2 = 16x + 4x2 + -16x + -4x2 Reorder the terms: 80 + -16x + -1x2 = 16x + -16x + 4x2 + -4x2 Combine like terms: 16x + -16x = 0 80 + -16x + -1x2 = 0 + 4x2 + -4x2 80 + -16x + -1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 80 + -16x + -1x2 = 0 Factor a trinomial. (4 + -1x)(20 + x) = 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 '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {4, -20}
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