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Simplifying 105f(y + -1w) + 70(y + -1w) = 0 Reorder the terms: 105f(-1w + y) + 70(y + -1w) = 0 (-1w * 105f + y * 105f) + 70(y + -1w) = 0 (-105fw + 105fy) + 70(y + -1w) = 0 Reorder the terms: -105fw + 105fy + 70(-1w + y) = 0 -105fw + 105fy + (-1w * 70 + y * 70) = 0 -105fw + 105fy + (-70w + 70y) = 0 Solving -105fw + 105fy + -70w + 70y = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '70w' to each side of the equation. -105fw + 105fy + -70w + 70w + 70y = 0 + 70w Combine like terms: -70w + 70w = 0 -105fw + 105fy + 0 + 70y = 0 + 70w -105fw + 105fy + 70y = 0 + 70w Remove the zero: -105fw + 105fy + 70y = 70w Add '-70y' to each side of the equation. -105fw + 105fy + 70y + -70y = 70w + -70y Combine like terms: 70y + -70y = 0 -105fw + 105fy + 0 = 70w + -70y -105fw + 105fy = 70w + -70y Reorder the terms: -105fw + 105fy + -70w + 70y = 70w + -70w + -70y + 70y Combine like terms: 70w + -70w = 0 -105fw + 105fy + -70w + 70y = 0 + -70y + 70y -105fw + 105fy + -70w + 70y = -70y + 70y Combine like terms: -70y + 70y = 0 -105fw + 105fy + -70w + 70y = 0 Factor out the Greatest Common Factor (GCF), '35'. 35(-3fw + 3fy + -2w + 2y) = 0 Ignore the factor 35.Subproblem 1
Set the factor '(-3fw + 3fy + -2w + 2y)' equal to zero and attempt to solve: Simplifying -3fw + 3fy + -2w + 2y = 0 Solving -3fw + 3fy + -2w + 2y = 0 Move all terms containing f to the left, all other terms to the right. Add '2w' to each side of the equation. -3fw + 3fy + -2w + 2w + 2y = 0 + 2w Combine like terms: -2w + 2w = 0 -3fw + 3fy + 0 + 2y = 0 + 2w -3fw + 3fy + 2y = 0 + 2w Remove the zero: -3fw + 3fy + 2y = 2w Add '-2y' to each side of the equation. -3fw + 3fy + 2y + -2y = 2w + -2y Combine like terms: 2y + -2y = 0 -3fw + 3fy + 0 = 2w + -2y -3fw + 3fy = 2w + -2y 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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