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Simplifying x(2x + 5x) * x(15x + -7x + -4) = 0 Combine like terms: 2x + 5x = 7x x(7x) * x(15x + -7x + -4) = 0 Remove parenthesis around (7x) x * 7x * x(15x + -7x + -4) = 0 Reorder the terms: x * 7x * x(-4 + 15x + -7x) = 0 Combine like terms: 15x + -7x = 8x x * 7x * x(-4 + 8x) = 0 Reorder the terms for easier multiplication: 7x * x * x(-4 + 8x) = 0 Multiply x * x 7x2 * x(-4 + 8x) = 0 Multiply x2 * x 7x3(-4 + 8x) = 0 (-4 * 7x3 + 8x * 7x3) = 0 (-28x3 + 56x4) = 0 Solving -28x3 + 56x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '28x3'. 28x3(-1 + 2x) = 0 Ignore the factor 28.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 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 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 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.5}
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