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Simplifying 4x2 + 7x + -72 = 3x2 + x Reorder the terms: -72 + 7x + 4x2 = 3x2 + x Reorder the terms: -72 + 7x + 4x2 = x + 3x2 Solving -72 + 7x + 4x2 = x + 3x2 Solving for variable 'x'. Reorder the terms: -72 + 7x + -1x + 4x2 + -3x2 = x + 3x2 + -1x + -3x2 Combine like terms: 7x + -1x = 6x -72 + 6x + 4x2 + -3x2 = x + 3x2 + -1x + -3x2 Combine like terms: 4x2 + -3x2 = 1x2 -72 + 6x + 1x2 = x + 3x2 + -1x + -3x2 Reorder the terms: -72 + 6x + 1x2 = x + -1x + 3x2 + -3x2 Combine like terms: x + -1x = 0 -72 + 6x + 1x2 = 0 + 3x2 + -3x2 -72 + 6x + 1x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -72 + 6x + 1x2 = 0 Factor a trinomial. (-12 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 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 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-12, 6}
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