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Simplifying 6x2 + -850x + 12500 = 0 Reorder the terms: 12500 + -850x + 6x2 = 0 Solving 12500 + -850x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(6250 + -425x + 3x2) = 0 Factor a trinomial. 2((50 + -3x)(125 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(50 + -3x)' equal to zero and attempt to solve: Simplifying 50 + -3x = 0 Solving 50 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -3x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -3x = 0 + -50 -3x = 0 + -50 Combine like terms: 0 + -50 = -50 -3x = -50 Divide each side by '-3'. x = 16.66666667 Simplifying x = 16.66666667Subproblem 2
Set the factor '(125 + -1x)' equal to zero and attempt to solve: Simplifying 125 + -1x = 0 Solving 125 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -1x = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -1x = 0 + -125 -1x = 0 + -125 Combine like terms: 0 + -125 = -125 -1x = -125 Divide each side by '-1'. x = 125 Simplifying x = 125Solution
x = {16.66666667, 125}
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