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Simplifying 2x2(4a + -1b) * x + -2ab = 0 Reorder the terms for easier multiplication: 2x2 * x(4a + -1b) + -2ab = 0 Multiply x2 * x 2x3(4a + -1b) + -2ab = 0 (4a * 2x3 + -1b * 2x3) + -2ab = 0 (8ax3 + -2bx3) + -2ab = 0 Reorder the terms: -2ab + 8ax3 + -2bx3 = 0 Solving -2ab + 8ax3 + -2bx3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2bx3' to each side of the equation. -2ab + 8ax3 + -2bx3 + 2bx3 = 0 + 2bx3 Combine like terms: -2bx3 + 2bx3 = 0 -2ab + 8ax3 + 0 = 0 + 2bx3 -2ab + 8ax3 = 0 + 2bx3 Remove the zero: -2ab + 8ax3 = 2bx3 Combine like terms: 2bx3 + -2bx3 = 0 -2ab + 8ax3 + -2bx3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1ab + 4ax3 + -1bx3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1ab + 4ax3 + -1bx3)' equal to zero and attempt to solve: Simplifying -1ab + 4ax3 + -1bx3 = 0 Solving -1ab + 4ax3 + -1bx3 = 0 Move all terms containing a to the left, all other terms to the right. Add 'bx3' to each side of the equation. -1ab + 4ax3 + -1bx3 + bx3 = 0 + bx3 Combine like terms: -1bx3 + bx3 = 0 -1ab + 4ax3 + 0 = 0 + bx3 -1ab + 4ax3 = 0 + bx3 Remove the zero: -1ab + 4ax3 = bx3 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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