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Simplifying -3w5x6(2x3 + 9w + -4) = 0 Reorder the terms: -3w5x6(-4 + 9w + 2x3) = 0 (-4 * -3w5x6 + 9w * -3w5x6 + 2x3 * -3w5x6) = 0 Reorder the terms: (12w5x6 + -6w5x9 + -27w6x6) = 0 (12w5x6 + -6w5x9 + -27w6x6) = 0 Solving 12w5x6 + -6w5x9 + -27w6x6 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '3w5x6'. 3w5x6(4 + -2x3 + -9w) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'w5x6' equal to zero and attempt to solve: Simplifying w5x6 = 0 Solving w5x6 = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w5x6 = 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 '(4 + -2x3 + -9w)' equal to zero and attempt to solve: Simplifying 4 + -2x3 + -9w = 0 Reorder the terms: 4 + -9w + -2x3 = 0 Solving 4 + -9w + -2x3 = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -9w + -4 + -2x3 = 0 + -4 Reorder the terms: 4 + -4 + -9w + -2x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9w + -2x3 = 0 + -4 -9w + -2x3 = 0 + -4 Combine like terms: 0 + -4 = -4 -9w + -2x3 = -4 Add '2x3' to each side of the equation. -9w + -2x3 + 2x3 = -4 + 2x3 Combine like terms: -2x3 + 2x3 = 0 -9w + 0 = -4 + 2x3 -9w = -4 + 2x3 Divide each side by '-9'. w = 0.4444444444 + -0.2222222222x3 Simplifying w = 0.4444444444 + -0.2222222222x3Solution
w = {0.4444444444 + -0.2222222222x3}
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