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Simplifying 3x2 + 48 = 4x2 + 8x Reorder the terms: 48 + 3x2 = 4x2 + 8x Reorder the terms: 48 + 3x2 = 8x + 4x2 Solving 48 + 3x2 = 8x + 4x2 Solving for variable 'x'. Reorder the terms: 48 + -8x + 3x2 + -4x2 = 8x + 4x2 + -8x + -4x2 Combine like terms: 3x2 + -4x2 = -1x2 48 + -8x + -1x2 = 8x + 4x2 + -8x + -4x2 Reorder the terms: 48 + -8x + -1x2 = 8x + -8x + 4x2 + -4x2 Combine like terms: 8x + -8x = 0 48 + -8x + -1x2 = 0 + 4x2 + -4x2 48 + -8x + -1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 48 + -8x + -1x2 = 0 Factor a trinomial. (4 + -1x)(12 + 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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {4, -12}
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