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Simplifying 5x4(2x2 + 7) = 0 Reorder the terms: 5x4(7 + 2x2) = 0 (7 * 5x4 + 2x2 * 5x4) = 0 (35x4 + 10x6) = 0 Solving 35x4 + 10x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x4'. 5x4(7 + 2x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 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 + 2x2)' equal to zero and attempt to solve: Simplifying 7 + 2x2 = 0 Solving 7 + 2x2 = 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 + 2x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x2 = 0 + -7 2x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2x2 = -7 Divide each side by '2'. x2 = -3.5 Simplifying x2 = -3.5 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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