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Simplifying 30x(3x + -10) = x Reorder the terms: 30x(-10 + 3x) = x (-10 * 30x + 3x * 30x) = x (-300x + 90x2) = x Solving -300x + 90x2 = x Solving for variable 'x'. Reorder the terms: -300x + -1x + 90x2 = x + -1x Combine like terms: -300x + -1x = -301x -301x + 90x2 = x + -1x Combine like terms: x + -1x = 0 -301x + 90x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-301 + 90x) = 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 '(-301 + 90x)' equal to zero and attempt to solve: Simplifying -301 + 90x = 0 Solving -301 + 90x = 0 Move all terms containing x to the left, all other terms to the right. Add '301' to each side of the equation. -301 + 301 + 90x = 0 + 301 Combine like terms: -301 + 301 = 0 0 + 90x = 0 + 301 90x = 0 + 301 Combine like terms: 0 + 301 = 301 90x = 301 Divide each side by '90'. x = 3.344444444 Simplifying x = 3.344444444Solution
x = {0, 3.344444444}
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