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Simplifying (W2 + 6w + -7)(2w + -16) = 0 Reorder the terms: (-7 + W2 + 6w)(2w + -16) = 0 Reorder the terms: (-7 + W2 + 6w)(-16 + 2w) = 0 Multiply (-7 + W2 + 6w) * (-16 + 2w) (-7(-16 + 2w) + W2(-16 + 2w) + 6w * (-16 + 2w)) = 0 ((-16 * -7 + 2w * -7) + W2(-16 + 2w) + 6w * (-16 + 2w)) = 0 ((112 + -14w) + W2(-16 + 2w) + 6w * (-16 + 2w)) = 0 (112 + -14w + (-16 * W2 + 2w * W2) + 6w * (-16 + 2w)) = 0 (112 + -14w + (-16W2 + 2wW2) + 6w * (-16 + 2w)) = 0 (112 + -14w + -16W2 + 2wW2 + (-16 * 6w + 2w * 6w)) = 0 (112 + -14w + -16W2 + 2wW2 + (-96w + 12w2)) = 0 Reorder the terms: (112 + -16W2 + -14w + -96w + 2wW2 + 12w2) = 0 Combine like terms: -14w + -96w = -110w (112 + -16W2 + -110w + 2wW2 + 12w2) = 0 Solving 112 + -16W2 + -110w + 2wW2 + 12w2 = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -16W2 + -110w + 2wW2 + -112 + 12w2 = 0 + -112 Reorder the terms: 112 + -112 + -16W2 + -110w + 2wW2 + 12w2 = 0 + -112 Combine like terms: 112 + -112 = 0 0 + -16W2 + -110w + 2wW2 + 12w2 = 0 + -112 -16W2 + -110w + 2wW2 + 12w2 = 0 + -112 Combine like terms: 0 + -112 = -112 -16W2 + -110w + 2wW2 + 12w2 = -112 Add '110w' to each side of the equation. -16W2 + -110w + 2wW2 + 110w + 12w2 = -112 + 110w Reorder the terms: -16W2 + -110w + 110w + 2wW2 + 12w2 = -112 + 110w Combine like terms: -110w + 110w = 0 -16W2 + 0 + 2wW2 + 12w2 = -112 + 110w -16W2 + 2wW2 + 12w2 = -112 + 110w Add '-12w2' to each side of the equation. -16W2 + 2wW2 + 12w2 + -12w2 = -112 + 110w + -12w2 Combine like terms: 12w2 + -12w2 = 0 -16W2 + 2wW2 + 0 = -112 + 110w + -12w2 -16W2 + 2wW2 = -112 + 110w + -12w2 Reorder the terms: 112 + -16W2 + -110w + 2wW2 + 12w2 = -112 + 110w + -12w2 + 112 + -110w + 12w2 Reorder the terms: 112 + -16W2 + -110w + 2wW2 + 12w2 = -112 + 112 + 110w + -110w + -12w2 + 12w2 Combine like terms: -112 + 112 = 0 112 + -16W2 + -110w + 2wW2 + 12w2 = 0 + 110w + -110w + -12w2 + 12w2 112 + -16W2 + -110w + 2wW2 + 12w2 = 110w + -110w + -12w2 + 12w2 Combine like terms: 110w + -110w = 0 112 + -16W2 + -110w + 2wW2 + 12w2 = 0 + -12w2 + 12w2 112 + -16W2 + -110w + 2wW2 + 12w2 = -12w2 + 12w2 Combine like terms: -12w2 + 12w2 = 0 112 + -16W2 + -110w + 2wW2 + 12w2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(56 + -8W2 + -55w + wW2 + 6w2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(56 + -8W2 + -55w + wW2 + 6w2)' equal to zero and attempt to solve: Simplifying 56 + -8W2 + -55w + wW2 + 6w2 = 0 Solving 56 + -8W2 + -55w + wW2 + 6w2 = 0 Move all terms containing W to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -8W2 + -55w + wW2 + -56 + 6w2 = 0 + -56 Reorder the terms: 56 + -56 + -8W2 + -55w + wW2 + 6w2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -8W2 + -55w + wW2 + 6w2 = 0 + -56 -8W2 + -55w + wW2 + 6w2 = 0 + -56 Combine like terms: 0 + -56 = -56 -8W2 + -55w + wW2 + 6w2 = -56 Add '55w' to each side of the equation. -8W2 + -55w + wW2 + 55w + 6w2 = -56 + 55w Reorder the terms: -8W2 + -55w + 55w + wW2 + 6w2 = -56 + 55w Combine like terms: -55w + 55w = 0 -8W2 + 0 + wW2 + 6w2 = -56 + 55w -8W2 + wW2 + 6w2 = -56 + 55w Add '-6w2' to each side of the equation. -8W2 + wW2 + 6w2 + -6w2 = -56 + 55w + -6w2 Combine like terms: 6w2 + -6w2 = 0 -8W2 + wW2 + 0 = -56 + 55w + -6w2 -8W2 + wW2 = -56 + 55w + -6w2 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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