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Simplifying (y + -7v + 7)(2y + -6) = 0 Reorder the terms: (7 + -7v + y)(2y + -6) = 0 Reorder the terms: (7 + -7v + y)(-6 + 2y) = 0 Multiply (7 + -7v + y) * (-6 + 2y) (7(-6 + 2y) + -7v * (-6 + 2y) + y(-6 + 2y)) = 0 ((-6 * 7 + 2y * 7) + -7v * (-6 + 2y) + y(-6 + 2y)) = 0 ((-42 + 14y) + -7v * (-6 + 2y) + y(-6 + 2y)) = 0 (-42 + 14y + (-6 * -7v + 2y * -7v) + y(-6 + 2y)) = 0 (-42 + 14y + (42v + -14vy) + y(-6 + 2y)) = 0 (-42 + 14y + 42v + -14vy + (-6 * y + 2y * y)) = 0 (-42 + 14y + 42v + -14vy + (-6y + 2y2)) = 0 Reorder the terms: (-42 + 42v + -14vy + 14y + -6y + 2y2) = 0 Combine like terms: 14y + -6y = 8y (-42 + 42v + -14vy + 8y + 2y2) = 0 Solving -42 + 42v + -14vy + 8y + 2y2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42v + -14vy + 8y + 42 + 2y2 = 0 + 42 Reorder the terms: -42 + 42 + 42v + -14vy + 8y + 2y2 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 42v + -14vy + 8y + 2y2 = 0 + 42 42v + -14vy + 8y + 2y2 = 0 + 42 Combine like terms: 0 + 42 = 42 42v + -14vy + 8y + 2y2 = 42 Add '-8y' to each side of the equation. 42v + -14vy + 8y + -8y + 2y2 = 42 + -8y Combine like terms: 8y + -8y = 0 42v + -14vy + 0 + 2y2 = 42 + -8y 42v + -14vy + 2y2 = 42 + -8y Add '-2y2' to each side of the equation. 42v + -14vy + 2y2 + -2y2 = 42 + -8y + -2y2 Combine like terms: 2y2 + -2y2 = 0 42v + -14vy + 0 = 42 + -8y + -2y2 42v + -14vy = 42 + -8y + -2y2 Reorder the terms: -42 + 42v + -14vy + 8y + 2y2 = 42 + -8y + -2y2 + -42 + 8y + 2y2 Reorder the terms: -42 + 42v + -14vy + 8y + 2y2 = 42 + -42 + -8y + 8y + -2y2 + 2y2 Combine like terms: 42 + -42 = 0 -42 + 42v + -14vy + 8y + 2y2 = 0 + -8y + 8y + -2y2 + 2y2 -42 + 42v + -14vy + 8y + 2y2 = -8y + 8y + -2y2 + 2y2 Combine like terms: -8y + 8y = 0 -42 + 42v + -14vy + 8y + 2y2 = 0 + -2y2 + 2y2 -42 + 42v + -14vy + 8y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -42 + 42v + -14vy + 8y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + 21v + -7vy + 4y + y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + 21v + -7vy + 4y + y2)' equal to zero and attempt to solve: Simplifying -21 + 21v + -7vy + 4y + y2 = 0 Solving -21 + 21v + -7vy + 4y + y2 = 0 Move all terms containing v to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21v + -7vy + 4y + 21 + y2 = 0 + 21 Reorder the terms: -21 + 21 + 21v + -7vy + 4y + y2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 21v + -7vy + 4y + y2 = 0 + 21 21v + -7vy + 4y + y2 = 0 + 21 Combine like terms: 0 + 21 = 21 21v + -7vy + 4y + y2 = 21 Add '-4y' to each side of the equation. 21v + -7vy + 4y + -4y + y2 = 21 + -4y Combine like terms: 4y + -4y = 0 21v + -7vy + 0 + y2 = 21 + -4y 21v + -7vy + y2 = 21 + -4y Add '-1y2' to each side of the equation. 21v + -7vy + y2 + -1y2 = 21 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 21v + -7vy + 0 = 21 + -4y + -1y2 21v + -7vy = 21 + -4y + -1y2 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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