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