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Simplifying (5x) * 2(6x3 + -2x2) = 0 Remove parenthesis around (5x) 5x * 2(6x3 + -2x2) = 0 Reorder the terms: 5x * 2(-2x2 + 6x3) = 0 Reorder the terms for easier multiplication: 5 * 2x(-2x2 + 6x3) = 0 Multiply 5 * 2 10x(-2x2 + 6x3) = 0 (-2x2 * 10x + 6x3 * 10x) = 0 (-20x3 + 60x4) = 0 Solving -20x3 + 60x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '20x3'. 20x3(-1 + 3x) = 0 Ignore the factor 20.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 3x = 0 Solving -1 + 3x = 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 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0.3333333333}
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