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Simplifying 4x + 5x = ax2 Combine like terms: 4x + 5x = 9x 9x = ax2 Solving 9x = ax2 Solving for variable 'x'. Reorder the terms: -1ax2 + 9x = ax2 + -1ax2 Combine like terms: ax2 + -1ax2 = 0 -1ax2 + 9x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1ax + 9) = 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 '(-1ax + 9)' equal to zero and attempt to solve: Simplifying -1ax + 9 = 0 Reorder the terms: 9 + -1ax = 0 Solving 9 + -1ax = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1ax = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1ax = 0 + -9 -1ax = 0 + -9 Combine like terms: 0 + -9 = -9 -1ax = -9 Divide each side by '-1a'. x = 9a-1 Simplifying x = 9a-1Solution
x = {0, 9a-1}
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