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Simplifying 168x2 = 96 + 32x Solving 168x2 = 96 + 32x Solving for variable 'x'. Reorder the terms: -96 + -32x + 168x2 = 96 + 32x + -96 + -32x Reorder the terms: -96 + -32x + 168x2 = 96 + -96 + 32x + -32x Combine like terms: 96 + -96 = 0 -96 + -32x + 168x2 = 0 + 32x + -32x -96 + -32x + 168x2 = 32x + -32x Combine like terms: 32x + -32x = 0 -96 + -32x + 168x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-12 + -4x + 21x2) = 0 Factor a trinomial. 8((-2 + -3x)(6 + -7x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 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 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 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 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {-0.6666666667, 0.8571428571}
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