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Simplifying -4w6x5(7x4 + -3w + 6) = 0 Reorder the terms: -4w6x5(6 + -3w + 7x4) = 0 (6 * -4w6x5 + -3w * -4w6x5 + 7x4 * -4w6x5) = 0 Reorder the terms: (-24w6x5 + -28w6x9 + 12w7x5) = 0 (-24w6x5 + -28w6x9 + 12w7x5) = 0 Solving -24w6x5 + -28w6x9 + 12w7x5 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4w6x5'. 4w6x5(-6 + -7x4 + 3w) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'w6x5' equal to zero and attempt to solve: Simplifying w6x5 = 0 Solving w6x5 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w6x5 = 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 '(-6 + -7x4 + 3w)' equal to zero and attempt to solve: Simplifying -6 + -7x4 + 3w = 0 Reorder the terms: -6 + 3w + -7x4 = 0 Solving -6 + 3w + -7x4 = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3w + 6 + -7x4 = 0 + 6 Reorder the terms: -6 + 6 + 3w + -7x4 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3w + -7x4 = 0 + 6 3w + -7x4 = 0 + 6 Combine like terms: 0 + 6 = 6 3w + -7x4 = 6 Add '7x4' to each side of the equation. 3w + -7x4 + 7x4 = 6 + 7x4 Combine like terms: -7x4 + 7x4 = 0 3w + 0 = 6 + 7x4 3w = 6 + 7x4 Divide each side by '3'. w = 2 + 2.333333333x4 Simplifying w = 2 + 2.333333333x4Solution
w = {2 + 2.333333333x4}
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