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Simplifying 0 = 9x2 + -59x + 30 Reorder the terms: 0 = 30 + -59x + 9x2 Solving 0 = 30 + -59x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -30 = -30 -30 + 59x + -9x2 = 30 + -59x + 9x2 + -30 + 59x + -9x2 Reorder the terms: -30 + 59x + -9x2 = 30 + -30 + -59x + 59x + 9x2 + -9x2 Combine like terms: 30 + -30 = 0 -30 + 59x + -9x2 = 0 + -59x + 59x + 9x2 + -9x2 -30 + 59x + -9x2 = -59x + 59x + 9x2 + -9x2 Combine like terms: -59x + 59x = 0 -30 + 59x + -9x2 = 0 + 9x2 + -9x2 -30 + 59x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -30 + 59x + -9x2 = 0 Factor a trinomial. (-6 + x)(5 + -9x) = 0Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 2
Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 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 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556Solution
x = {6, 0.5555555556}
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