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Simplifying (4x6 + -7x)(9x2) = 0 Reorder the terms: (-7x + 4x6)(9x2) = 0 Remove parenthesis around (9x2) (-7x + 4x6) * 9x2 = 0 Reorder the terms for easier multiplication: 9x2(-7x + 4x6) = 0 (-7x * 9x2 + 4x6 * 9x2) = 0 (-63x3 + 36x8) = 0 Solving -63x3 + 36x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9x3'. 9x3(-7 + 4x5) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 '(-7 + 4x5)' equal to zero and attempt to solve: Simplifying -7 + 4x5 = 0 Solving -7 + 4x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x5 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4x5 = 0 + 7 4x5 = 0 + 7 Combine like terms: 0 + 7 = 7 4x5 = 7 Divide each side by '4'. x5 = 1.75 Simplifying x5 = 1.75 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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