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Simplifying -2x2 + 360x + -3400 = 0 Reorder the terms: -3400 + 360x + -2x2 = 0 Solving -3400 + 360x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1700 + 180x + -1x2) = 0 Factor a trinomial. 2((-170 + x)(10 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-170 + x)' equal to zero and attempt to solve: Simplifying -170 + x = 0 Solving -170 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '170' to each side of the equation. -170 + 170 + x = 0 + 170 Combine like terms: -170 + 170 = 0 0 + x = 0 + 170 x = 0 + 170 Combine like terms: 0 + 170 = 170 x = 170 Simplifying x = 170Subproblem 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 = {170, 10}
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