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Simplifying 21x2 + -224 = -140x Reorder the terms: -224 + 21x2 = -140x Solving -224 + 21x2 = -140x Solving for variable 'x'. Reorder the terms: -224 + 140x + 21x2 = -140x + 140x Combine like terms: -140x + 140x = 0 -224 + 140x + 21x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-32 + 20x + 3x2) = 0 Factor a trinomial. 7((-8 + -1x)(4 + -3x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
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 = 1.333333333Solution
x = {-8, 1.333333333}
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