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Simplifying 5x(2x + -15) = 30x Reorder the terms: 5x(-15 + 2x) = 30x (-15 * 5x + 2x * 5x) = 30x (-75x + 10x2) = 30x Solving -75x + 10x2 = 30x Solving for variable 'x'. Reorder the terms: -75x + -30x + 10x2 = 30x + -30x Combine like terms: -75x + -30x = -105x -105x + 10x2 = 30x + -30x Combine like terms: 30x + -30x = 0 -105x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-21 + 2x) = 0 Ignore the factor 5.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 '(-21 + 2x)' equal to zero and attempt to solve: Simplifying -21 + 2x = 0 Solving -21 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 0 + 21 2x = 0 + 21 Combine like terms: 0 + 21 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5Solution
x = {0, 10.5}
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