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Simplifying (5x2) + -1(3x) = 0 Remove parenthesis around (3x) (5x2) + -1 * 3x = 0 Multiply -1 * 3 (5x2) + -3x = 0 Reorder the terms: -3x + (5x2) = 0 Solving -3x + (5x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + (5x)) = 0Subproblem 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 '(-3 + (5x))' equal to zero and attempt to solve: Simplifying -3 + (5x) = 0 Solving -3 + (5x) = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + (5x) = 0 + 3 Combine like terms: -3 + 3 = 0 0 + (5x) = 0 + 3 (5x) = 0 + 3 Combine like terms: 0 + 3 = 3 (5x) = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6Solution
x = {0, 0.6}
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