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Simplifying -1(2x + 15) = 5x(-7x) + -3(5) Reorder the terms: -1(15 + 2x) = 5x(-7x) + -3(5) (15 * -1 + 2x * -1) = 5x(-7x) + -3(5) (-15 + -2x) = 5x(-7x) + -3(5) Remove parenthesis around (-7x) -15 + -2x = 5x * -7x + -3(5) Reorder the terms for easier multiplication: -15 + -2x = 5 * -7x * x + -3(5) Multiply 5 * -7 -15 + -2x = -35x * x + -3(5) Multiply x * x -15 + -2x = -35x2 + -3(5) Multiply -3 * 5 -15 + -2x = -35x2 + -15 Reorder the terms: -15 + -2x = -15 + -35x2 Add '15' to each side of the equation. -15 + 15 + -2x = -15 + 15 + -35x2 Combine like terms: -15 + 15 = 0 0 + -2x = -15 + 15 + -35x2 -2x = -15 + 15 + -35x2 Combine like terms: -15 + 15 = 0 -2x = 0 + -35x2 -2x = -35x2 Solving -2x = -35x2 Solving for variable 'x'. Combine like terms: -35x2 + 35x2 = 0 -2x + 35x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2 + 35x) = 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 '(-2 + 35x)' equal to zero and attempt to solve: Simplifying -2 + 35x = 0 Solving -2 + 35x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 35x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 35x = 0 + 2 35x = 0 + 2 Combine like terms: 0 + 2 = 2 35x = 2 Divide each side by '35'. x = 0.05714285714 Simplifying x = 0.05714285714Solution
x = {0, 0.05714285714}
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