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Simplifying 6x2 + -6x + 1 = ax2 + -6x + 1 Reorder the terms: 1 + -6x + 6x2 = ax2 + -6x + 1 Reorder the terms: 1 + -6x + 6x2 = 1 + ax2 + -6x Add '-1' to each side of the equation. 1 + -6x + -1 + 6x2 = 1 + ax2 + -1 + -6x Reorder the terms: 1 + -1 + -6x + 6x2 = 1 + ax2 + -1 + -6x Combine like terms: 1 + -1 = 0 0 + -6x + 6x2 = 1 + ax2 + -1 + -6x -6x + 6x2 = 1 + ax2 + -1 + -6x Reorder the terms: -6x + 6x2 = 1 + -1 + ax2 + -6x Combine like terms: 1 + -1 = 0 -6x + 6x2 = 0 + ax2 + -6x -6x + 6x2 = ax2 + -6x Add '6x' to each side of the equation. -6x + 6x + 6x2 = ax2 + -6x + 6x Combine like terms: -6x + 6x = 0 0 + 6x2 = ax2 + -6x + 6x 6x2 = ax2 + -6x + 6x Combine like terms: -6x + 6x = 0 6x2 = ax2 + 0 6x2 = ax2 Solving 6x2 = 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 + 6x2 = ax2 + -1ax2 Combine like terms: ax2 + -1ax2 = 0 -1ax2 + 6x2 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-1a + 6) = 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 + 6)' equal to zero and attempt to solve: Simplifying -1a + 6 = 0 Reorder the terms: 6 + -1a = 0 Solving 6 + -1a = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 0 + -6 -1a = 0 + -6 Combine like terms: 0 + -6 = -6 -1a = -6 Add 'a' to each side of the equation. -1a + a = -6 + a Combine like terms: -1a + a = 0 0 = -6 + a Simplifying 0 = -6 + 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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