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Simplifying 6xsquared[(3x + -4) + (4x + 2)] = 0 Reorder the terms: 6adeqrsux[(-4 + 3x) + (4x + 2)] = 0 Remove parenthesis around (-4 + 3x) 6adeqrsux[-4 + 3x + (4x + 2)] = 0 Reorder the terms: 6adeqrsux[-4 + 3x + (2 + 4x)] = 0 Remove parenthesis around (2 + 4x) 6adeqrsux[-4 + 3x + 2 + 4x] = 0 Reorder the terms: 6adeqrsux[-4 + 2 + 3x + 4x] = 0 Combine like terms: -4 + 2 = -2 6adeqrsux[-2 + 3x + 4x] = 0 Combine like terms: 3x + 4x = 7x 6adeqrsux[-2 + 7x] = 0 [-2 * 6adeqrsux + 7x * 6adeqrsux] = 0 [-12adeqrsux + 42adeqrsux2] = 0 Solving -12adeqrsux + 42adeqrsux2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '6adeqrsux'. 6adeqrsux(-2 + 7x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'adeqrsux' equal to zero and attempt to solve: Simplifying adeqrsux = 0 Solving adeqrsux = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adeqrsux = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + 7x)' equal to zero and attempt to solve: Simplifying -2 + 7x = 0 Solving -2 + 7x = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 0 + 2 7x = 0 + 2 Combine like terms: 0 + 2 = 2 7x = 2 Add '-7x' to each side of the equation. 7x + -7x = 2 + -7x Combine like terms: 7x + -7x = 0 0 = 2 + -7x Simplifying 0 = 2 + -7x 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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