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Simplifying 3x(x + 10) = 8x Reorder the terms: 3x(10 + x) = 8x (10 * 3x + x * 3x) = 8x (30x + 3x2) = 8x Solving 30x + 3x2 = 8x Solving for variable 'x'. Reorder the terms: 30x + -8x + 3x2 = 8x + -8x Combine like terms: 30x + -8x = 22x 22x + 3x2 = 8x + -8x Combine like terms: 8x + -8x = 0 22x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(22 + 3x) = 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 '(22 + 3x)' equal to zero and attempt to solve: Simplifying 22 + 3x = 0 Solving 22 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 3x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 0 + -22 3x = 0 + -22 Combine like terms: 0 + -22 = -22 3x = -22 Divide each side by '3'. x = -7.333333333 Simplifying x = -7.333333333Solution
x = {0, -7.333333333}
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