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Simplifying 4x + 3x + -3x(4x + -8) = 14 Reorder the terms: 4x + 3x + -3x(-8 + 4x) = 14 4x + 3x + (-8 * -3x + 4x * -3x) = 14 4x + 3x + (24x + -12x2) = 14 Combine like terms: 4x + 3x = 7x 7x + 24x + -12x2 = 14 Combine like terms: 7x + 24x = 31x 31x + -12x2 = 14 Solving 31x + -12x2 = 14 Solving for variable 'x'. Reorder the terms: -14 + 31x + -12x2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 31x + -12x2 = 0 Factor a trinomial. (-2 + x)(7 + -12x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(7 + -12x)' equal to zero and attempt to solve: Simplifying 7 + -12x = 0 Solving 7 + -12x = 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 + -12x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 0 + -7 -12x = 0 + -7 Combine like terms: 0 + -7 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333Solution
x = {2, 0.5833333333}
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