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Simplifying w(x) = x2 + 4xfindw(-6) Multiply w * x wx = x2 + 4xfindw(-6) Reorder the terms for easier multiplication: wx = x2 + 4 * -6dfinwx Multiply 4 * -6 wx = x2 + -24dfinwx Reorder the terms: wx = -24dfinwx + x2 Solving wx = -24dfinwx + x2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24dfinwx' to each side of the equation. 24dfinwx + wx = -24dfinwx + 24dfinwx + x2 Combine like terms: -24dfinwx + 24dfinwx = 0 24dfinwx + wx = 0 + x2 24dfinwx + wx = x2 Combine like terms: x2 + -1x2 = 0 24dfinwx + wx + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(24dfinw + w + -1x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(24dfinw + w + -1x)' equal to zero and attempt to solve: Simplifying 24dfinw + w + -1x = 0 Solving 24dfinw + w + -1x = 0 Move all terms containing w to the left, all other terms to the right. Add 'x' to each side of the equation. 24dfinw + w + -1x + x = 0 + x Combine like terms: -1x + x = 0 24dfinw + w + 0 = 0 + x 24dfinw + w = 0 + x Remove the zero: 24dfinw + w = x 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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