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Simplifying -7x4(4x + 1) = 0 Reorder the terms: -7x4(1 + 4x) = 0 (1 * -7x4 + 4x * -7x4) = 0 (-7x4 + -28x5) = 0 Solving -7x4 + -28x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-7x4'. -7x4(1 + 4x) = 0 Ignore the factor -7.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 '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Divide each side by '4'. x = -0.25 Simplifying x = -0.25Solution
x = {-0.25}
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