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Simplifying -14x2 + 980x + -8400 = 0 Reorder the terms: -8400 + 980x + -14x2 = 0 Solving -8400 + 980x + -14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '14'. 14(-600 + 70x + -1x2) = 0 Factor a trinomial. 14((-60 + x)(10 + -1x)) = 0 Ignore the factor 14.Subproblem 1
Set the factor '(-60 + x)' equal to zero and attempt to solve: Simplifying -60 + x = 0 Solving -60 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + x = 0 + 60 x = 0 + 60 Combine like terms: 0 + 60 = 60 x = 60 Simplifying x = 60Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {60, 10}
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