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Simplifying 15x[10x + -1(2x + 5)] = 0 Reorder the terms: 15x[10x + -1(5 + 2x)] = 0 15x[10x + (5 * -1 + 2x * -1)] = 0 15x[10x + (-5 + -2x)] = 0 Reorder the terms: 15x[-5 + 10x + -2x] = 0 Combine like terms: 10x + -2x = 8x 15x[-5 + 8x] = 0 [-5 * 15x + 8x * 15x] = 0 [-75x + 120x2] = 0 Solving -75x + 120x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15x'. 15x(-5 + 8x) = 0 Ignore the factor 15.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 '(-5 + 8x)' equal to zero and attempt to solve: Simplifying -5 + 8x = 0 Solving -5 + 8x = 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 + 8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 0 + 5 8x = 0 + 5 Combine like terms: 0 + 5 = 5 8x = 5 Divide each side by '8'. x = 0.625 Simplifying x = 0.625Solution
x = {0, 0.625}
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