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Simplifying 18x2 + -18x + 1 = ax2 + -18x + 1 Reorder the terms: 1 + -18x + 18x2 = ax2 + -18x + 1 Reorder the terms: 1 + -18x + 18x2 = 1 + ax2 + -18x Add '-1' to each side of the equation. 1 + -18x + -1 + 18x2 = 1 + ax2 + -1 + -18x Reorder the terms: 1 + -1 + -18x + 18x2 = 1 + ax2 + -1 + -18x Combine like terms: 1 + -1 = 0 0 + -18x + 18x2 = 1 + ax2 + -1 + -18x -18x + 18x2 = 1 + ax2 + -1 + -18x Reorder the terms: -18x + 18x2 = 1 + -1 + ax2 + -18x Combine like terms: 1 + -1 = 0 -18x + 18x2 = 0 + ax2 + -18x -18x + 18x2 = ax2 + -18x Add '18x' to each side of the equation. -18x + 18x + 18x2 = ax2 + -18x + 18x Combine like terms: -18x + 18x = 0 0 + 18x2 = ax2 + -18x + 18x 18x2 = ax2 + -18x + 18x Combine like terms: -18x + 18x = 0 18x2 = ax2 + 0 18x2 = ax2 Solving 18x2 = ax2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1ax2' to each side of the equation. -1ax2 + 18x2 = ax2 + -1ax2 Combine like terms: ax2 + -1ax2 = 0 -1ax2 + 18x2 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-1a + 18) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-1a + 18)' equal to zero and attempt to solve: Simplifying -1a + 18 = 0 Reorder the terms: 18 + -1a = 0 Solving 18 + -1a = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1a = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = 0 + -18 -1a = 0 + -18 Combine like terms: 0 + -18 = -18 -1a = -18 Add 'a' to each side of the equation. -1a + a = -18 + a Combine like terms: -1a + a = 0 0 = -18 + a Simplifying 0 = -18 + a The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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