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Simplifying 30x + -2 + -100x2 = 0 Reorder the terms: -2 + 30x + -100x2 = 0 Solving -2 + 30x + -100x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 15x + -50x2) = 0 Factor a trinomial. 2((-1 + 5x)(1 + -10x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 5x)' equal to zero and attempt to solve: Simplifying -1 + 5x = 0 Solving -1 + 5x = 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 + 5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 0 + 1 5x = 0 + 1 Combine like terms: 0 + 1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2Subproblem 2
Set the factor '(1 + -10x)' equal to zero and attempt to solve: Simplifying 1 + -10x = 0 Solving 1 + -10x = 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 + -10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 0 + -1 -10x = 0 + -1 Combine like terms: 0 + -1 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1Solution
x = {0.2, 0.1}
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