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Simplifying 0 = 30x2 + -5x Reorder the terms: 0 = -5x + 30x2 Solving 0 = -5x + 30x2 Solving for variable 'x'. Remove the zero: 5x + -30x2 = -5x + 30x2 + 5x + -30x2 Reorder the terms: 5x + -30x2 = -5x + 5x + 30x2 + -30x2 Combine like terms: -5x + 5x = 0 5x + -30x2 = 0 + 30x2 + -30x2 5x + -30x2 = 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 5x + -30x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(1 + -6x) = 0 Ignore the factor 5.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 '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {0, 0.1666666667}
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