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Simplifying -1x2 + 610x + -6000 = 0 Reorder the terms: -6000 + 610x + -1x2 = 0 Solving -6000 + 610x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-600 + x)(10 + -1x) = 0Subproblem 1
Set the factor '(-600 + x)' equal to zero and attempt to solve: Simplifying -600 + x = 0 Solving -600 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '600' to each side of the equation. -600 + 600 + x = 0 + 600 Combine like terms: -600 + 600 = 0 0 + x = 0 + 600 x = 0 + 600 Combine like terms: 0 + 600 = 600 x = 600 Simplifying x = 600Subproblem 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 = {600, 10}
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