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Simplifying 40x + -50 = 6x2 Reorder the terms: -50 + 40x = 6x2 Solving -50 + 40x = 6x2 Solving for variable 'x'. Combine like terms: 6x2 + -6x2 = 0 -50 + 40x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-25 + 20x + -3x2) = 0 Factor a trinomial. 2((-5 + x)(5 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {5, 1.666666667}
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