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Simplifying 4x2 + -32x + 64 = 3x2 + -12x + -36 Reorder the terms: 64 + -32x + 4x2 = 3x2 + -12x + -36 Reorder the terms: 64 + -32x + 4x2 = -36 + -12x + 3x2 Solving 64 + -32x + 4x2 = -36 + -12x + 3x2 Solving for variable 'x'. Reorder the terms: 64 + 36 + -32x + 12x + 4x2 + -3x2 = -36 + -12x + 3x2 + 36 + 12x + -3x2 Combine like terms: 64 + 36 = 100 100 + -32x + 12x + 4x2 + -3x2 = -36 + -12x + 3x2 + 36 + 12x + -3x2 Combine like terms: -32x + 12x = -20x 100 + -20x + 4x2 + -3x2 = -36 + -12x + 3x2 + 36 + 12x + -3x2 Combine like terms: 4x2 + -3x2 = 1x2 100 + -20x + 1x2 = -36 + -12x + 3x2 + 36 + 12x + -3x2 Reorder the terms: 100 + -20x + 1x2 = -36 + 36 + -12x + 12x + 3x2 + -3x2 Combine like terms: -36 + 36 = 0 100 + -20x + 1x2 = 0 + -12x + 12x + 3x2 + -3x2 100 + -20x + 1x2 = -12x + 12x + 3x2 + -3x2 Combine like terms: -12x + 12x = 0 100 + -20x + 1x2 = 0 + 3x2 + -3x2 100 + -20x + 1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 100 + -20x + 1x2 = 0 Factor a trinomial. (10 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {10, 10}
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