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Simplifying 9x2 + -30x + 25 + -4x2 + -4x + -1 = 24 Reorder the terms: 25 + -1 + -30x + -4x + 9x2 + -4x2 = 24 Combine like terms: 25 + -1 = 24 24 + -30x + -4x + 9x2 + -4x2 = 24 Combine like terms: -30x + -4x = -34x 24 + -34x + 9x2 + -4x2 = 24 Combine like terms: 9x2 + -4x2 = 5x2 24 + -34x + 5x2 = 24 Add '-24' to each side of the equation. 24 + -34x + -24 + 5x2 = 24 + -24 Reorder the terms: 24 + -24 + -34x + 5x2 = 24 + -24 Combine like terms: 24 + -24 = 0 0 + -34x + 5x2 = 24 + -24 -34x + 5x2 = 24 + -24 Combine like terms: 24 + -24 = 0 -34x + 5x2 = 0 Solving -34x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-34 + 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 '(-34 + 5x)' equal to zero and attempt to solve: Simplifying -34 + 5x = 0 Solving -34 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 5x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 5x = 0 + 34 5x = 0 + 34 Combine like terms: 0 + 34 = 34 5x = 34 Divide each side by '5'. x = 6.8 Simplifying x = 6.8Solution
x = {0, 6.8}
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