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Simplifying 63x2 + -15x = 12 Reorder the terms: -15x + 63x2 = 12 Solving -15x + 63x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + -15x + 63x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -15x + 63x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + -5x + 21x2) = 0 Factor a trinomial. 3((-1 + -3x)(4 + -7x)) = 0 Ignore the factor 3.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 '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {-0.3333333333, 0.5714285714}
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