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Simplifying 24x2 + -6 = 10x Reorder the terms: -6 + 24x2 = 10x Solving -6 + 24x2 = 10x Solving for variable 'x'. Reorder the terms: -6 + -10x + 24x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -10x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -5x + 12x2) = 0 Factor a trinomial. 2((-1 + -3x)(3 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {-0.3333333333, 0.75}
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