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Simplifying x = 30x + -5x2 Solving x = 30x + -5x2 Solving for variable 'x'. Combine like terms: x + -30x = -29x -29x + 5x2 = 30x + -5x2 + -30x + 5x2 Reorder the terms: -29x + 5x2 = 30x + -30x + -5x2 + 5x2 Combine like terms: 30x + -30x = 0 -29x + 5x2 = 0 + -5x2 + 5x2 -29x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -29x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-29 + 5x) = 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 '(-29 + 5x)' equal to zero and attempt to solve: Simplifying -29 + 5x = 0 Solving -29 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 5x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 5x = 0 + 29 5x = 0 + 29 Combine like terms: 0 + 29 = 29 5x = 29 Divide each side by '5'. x = 5.8 Simplifying x = 5.8Solution
x = {0, 5.8}
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