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Simplifying 6x * 6x + (12 + -8a) * x + -16a = 0 Reorder the terms for easier multiplication: 6 * 6x * x + (12 + -8a) * x + -16a = 0 Multiply 6 * 6 36x * x + (12 + -8a) * x + -16a = 0 Multiply x * x 36x2 + (12 + -8a) * x + -16a = 0 Reorder the terms for easier multiplication: 36x2 + x(12 + -8a) + -16a = 0 36x2 + (12 * x + -8a * x) + -16a = 0 Reorder the terms: 36x2 + (-8ax + 12x) + -16a = 0 36x2 + (-8ax + 12x) + -16a = 0 Reorder the terms: -16a + -8ax + 12x + 36x2 = 0 Solving -16a + -8ax + 12x + 36x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12x' to each side of the equation. -16a + -8ax + 12x + -12x + 36x2 = 0 + -12x Combine like terms: 12x + -12x = 0 -16a + -8ax + 0 + 36x2 = 0 + -12x -16a + -8ax + 36x2 = 0 + -12x Remove the zero: -16a + -8ax + 36x2 = -12x Add '-36x2' to each side of the equation. -16a + -8ax + 36x2 + -36x2 = -12x + -36x2 Combine like terms: 36x2 + -36x2 = 0 -16a + -8ax + 0 = -12x + -36x2 -16a + -8ax = -12x + -36x2 Reorder the terms: -16a + -8ax + 12x + 36x2 = -12x + 12x + -36x2 + 36x2 Combine like terms: -12x + 12x = 0 -16a + -8ax + 12x + 36x2 = 0 + -36x2 + 36x2 -16a + -8ax + 12x + 36x2 = -36x2 + 36x2 Combine like terms: -36x2 + 36x2 = 0 -16a + -8ax + 12x + 36x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4a + -2ax + 3x + 9x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4a + -2ax + 3x + 9x2)' equal to zero and attempt to solve: Simplifying -4a + -2ax + 3x + 9x2 = 0 Solving -4a + -2ax + 3x + 9x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. -4a + -2ax + 3x + -3x + 9x2 = 0 + -3x Combine like terms: 3x + -3x = 0 -4a + -2ax + 0 + 9x2 = 0 + -3x -4a + -2ax + 9x2 = 0 + -3x Remove the zero: -4a + -2ax + 9x2 = -3x Add '-9x2' to each side of the equation. -4a + -2ax + 9x2 + -9x2 = -3x + -9x2 Combine like terms: 9x2 + -9x2 = 0 -4a + -2ax + 0 = -3x + -9x2 -4a + -2ax = -3x + -9x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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