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Simplifying x(x + 6) = 40x2 Reorder the terms: x(6 + x) = 40x2 (6 * x + x * x) = 40x2 (6x + x2) = 40x2 Solving 6x + x2 = 40x2 Solving for variable 'x'. Combine like terms: x2 + -40x2 = -39x2 6x + -39x2 = 40x2 + -40x2 Combine like terms: 40x2 + -40x2 = 0 6x + -39x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(2 + -13x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(2 + -13x)' equal to zero and attempt to solve: Simplifying 2 + -13x = 0 Solving 2 + -13x = 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 + -13x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = 0 + -2 -13x = 0 + -2 Combine like terms: 0 + -2 = -2 -13x = -2 Divide each side by '-13'. x = 0.1538461538 Simplifying x = 0.1538461538Solution
x = {0, 0.1538461538}
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