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Simplifying 2(a + -1x)(2x + -6) = 0 Reorder the terms: 2(a + -1x)(-6 + 2x) = 0 Multiply (a + -1x) * (-6 + 2x) 2(a(-6 + 2x) + -1x * (-6 + 2x)) = 0 2((-6 * a + 2x * a) + -1x * (-6 + 2x)) = 0 2((-6a + 2ax) + -1x * (-6 + 2x)) = 0 2(-6a + 2ax + (-6 * -1x + 2x * -1x)) = 0 2(-6a + 2ax + (6x + -2x2)) = 0 2(-6a + 2ax + 6x + -2x2) = 0 (-6a * 2 + 2ax * 2 + 6x * 2 + -2x2 * 2) = 0 (-12a + 4ax + 12x + -4x2) = 0 Solving -12a + 4ax + 12x + -4x2 = 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. -12a + 4ax + 12x + -12x + -4x2 = 0 + -12x Combine like terms: 12x + -12x = 0 -12a + 4ax + 0 + -4x2 = 0 + -12x -12a + 4ax + -4x2 = 0 + -12x Remove the zero: -12a + 4ax + -4x2 = -12x Add '4x2' to each side of the equation. -12a + 4ax + -4x2 + 4x2 = -12x + 4x2 Combine like terms: -4x2 + 4x2 = 0 -12a + 4ax + 0 = -12x + 4x2 -12a + 4ax = -12x + 4x2 Reorder the terms: -12a + 4ax + 12x + -4x2 = -12x + 12x + 4x2 + -4x2 Combine like terms: -12x + 12x = 0 -12a + 4ax + 12x + -4x2 = 0 + 4x2 + -4x2 -12a + 4ax + 12x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -12a + 4ax + 12x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3a + ax + 3x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3a + ax + 3x + -1x2)' equal to zero and attempt to solve: Simplifying -3a + ax + 3x + -1x2 = 0 Solving -3a + ax + 3x + -1x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3x' to each side of the equation. -3a + ax + 3x + -3x + -1x2 = 0 + -3x Combine like terms: 3x + -3x = 0 -3a + ax + 0 + -1x2 = 0 + -3x -3a + ax + -1x2 = 0 + -3x Remove the zero: -3a + ax + -1x2 = -3x Add 'x2' to each side of the equation. -3a + ax + -1x2 + x2 = -3x + x2 Combine like terms: -1x2 + x2 = 0 -3a + ax + 0 = -3x + x2 -3a + ax = -3x + x2 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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