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Simplifying 5X + 30 = 10(X * X) Reorder the terms: 30 + 5X = 10(X * X) Multiply X * X 30 + 5X = 10(X2) Solving 30 + 5X = 10X2 Solving for variable 'X'. Combine like terms: 10X2 + -10X2 = 0 30 + 5X + -10X2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(6 + X + -2X2) = 0 Factor a trinomial. 5((2 + -1X)(3 + 2X)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Subproblem 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 = {2, -1.5}
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