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Simplifying (mx + -4)(m2x2 + 4mx + 16) = 0 Reorder the terms: (-4 + mx)(m2x2 + 4mx + 16) = 0 Reorder the terms: (-4 + mx)(16 + 4mx + m2x2) = 0 Multiply (-4 + mx) * (16 + 4mx + m2x2) (-4(16 + 4mx + m2x2) + mx(16 + 4mx + m2x2)) = 0 ((16 * -4 + 4mx * -4 + m2x2 * -4) + mx(16 + 4mx + m2x2)) = 0 ((-64 + -16mx + -4m2x2) + mx(16 + 4mx + m2x2)) = 0 (-64 + -16mx + -4m2x2 + (16 * mx + 4mx * mx + m2x2 * mx)) = 0 (-64 + -16mx + -4m2x2 + (16mx + 4m2x2 + m3x3)) = 0 Reorder the terms: (-64 + -16mx + 16mx + -4m2x2 + 4m2x2 + m3x3) = 0 Combine like terms: -16mx + 16mx = 0 (-64 + 0 + -4m2x2 + 4m2x2 + m3x3) = 0 (-64 + -4m2x2 + 4m2x2 + m3x3) = 0 Combine like terms: -4m2x2 + 4m2x2 = 0 (-64 + 0 + m3x3) = 0 (-64 + m3x3) = 0 Solving -64 + m3x3 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + m3x3 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + m3x3 = 0 + 64 m3x3 = 0 + 64 Combine like terms: 0 + 64 = 64 m3x3 = 64 Divide each side by 'x3'. m3 = 64x-3 Simplifying m3 = 64x-3 Combine like terms: 64x-3 + -64x-3 = 0 m3 + -64x-3 = 0 Factor out the Greatest Common Factor (GCF), 'x-3'. x-3(m3x3 + -64) = 0Subproblem 1
Set the factor 'x-3' equal to zero and attempt to solve: Simplifying x-3 = 0 Solving x-3 = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x-3' to each side of the equation. x-3 + -1x-3 = 0 + -1x-3 Remove the zero: 0 = -1x-3 Simplifying 0 = -1x-3 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 '(m3x3 + -64)' equal to zero and attempt to solve: Simplifying m3x3 + -64 = 0 Reorder the terms: -64 + m3x3 = 0 Solving -64 + m3x3 = 0 Move all terms containing m to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + m3x3 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + m3x3 = 0 + 64 m3x3 = 0 + 64 Combine like terms: 0 + 64 = 64 m3x3 = 64 Divide each side by 'x3'. m3 = 64x-3 Simplifying m3 = 64x-3 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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