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Simplifying (3x + -5) * x(2x) = 0 Reorder the terms: (-5 + 3x) * x(2x) = 0 Remove parenthesis around (2x) (-5 + 3x) * x * 2x = 0 Reorder the terms for easier multiplication: 2x * x(-5 + 3x) = 0 Multiply x * x 2x2(-5 + 3x) = 0 (-5 * 2x2 + 3x * 2x2) = 0 (-10x2 + 6x3) = 0 Solving -10x2 + 6x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-5 + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-5 + 3x)' equal to zero and attempt to solve: Simplifying -5 + 3x = 0 Solving -5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {0, 1.666666667}
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