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Simplifying 0 = 2x2 + -23x + 30 Reorder the terms: 0 = 30 + -23x + 2x2 Solving 0 = 30 + -23x + 2x2 Solving for variable 'x'. Combine like terms: 0 + -30 = -30 -30 + 23x + -2x2 = 30 + -23x + 2x2 + -30 + 23x + -2x2 Reorder the terms: -30 + 23x + -2x2 = 30 + -30 + -23x + 23x + 2x2 + -2x2 Combine like terms: 30 + -30 = 0 -30 + 23x + -2x2 = 0 + -23x + 23x + 2x2 + -2x2 -30 + 23x + -2x2 = -23x + 23x + 2x2 + -2x2 Combine like terms: -23x + 23x = 0 -30 + 23x + -2x2 = 0 + 2x2 + -2x2 -30 + 23x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -30 + 23x + -2x2 = 0 Factor a trinomial. (-10 + x)(3 + -2x) = 0Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 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 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {10, 1.5}
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