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Simplifying 10x2 + -56 = -14x2 + 10x Reorder the terms: -56 + 10x2 = -14x2 + 10x Reorder the terms: -56 + 10x2 = 10x + -14x2 Solving -56 + 10x2 = 10x + -14x2 Solving for variable 'x'. Reorder the terms: -56 + -10x + 10x2 + 14x2 = 10x + -14x2 + -10x + 14x2 Combine like terms: 10x2 + 14x2 = 24x2 -56 + -10x + 24x2 = 10x + -14x2 + -10x + 14x2 Reorder the terms: -56 + -10x + 24x2 = 10x + -10x + -14x2 + 14x2 Combine like terms: 10x + -10x = 0 -56 + -10x + 24x2 = 0 + -14x2 + 14x2 -56 + -10x + 24x2 = -14x2 + 14x2 Combine like terms: -14x2 + 14x2 = 0 -56 + -10x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-28 + -5x + 12x2) = 0 Factor a trinomial. 2((-4 + -3x)(7 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {-1.333333333, 1.75}
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