(4w+6y+7)x(5w-4y+5)=

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Solution for (4w+6y+7)x(5w-4y+5)= equation:


Simplifying
(4w + 6y + 7) * x(5w + -4y + 5) = 0

Reorder the terms:
(7 + 4w + 6y) * x(5w + -4y + 5) = 0

Reorder the terms:
(7 + 4w + 6y) * x(5 + 5w + -4y) = 0

Reorder the terms for easier multiplication:
x(7 + 4w + 6y)(5 + 5w + -4y) = 0

Multiply (7 + 4w + 6y) * (5 + 5w + -4y)
x(7(5 + 5w + -4y) + 4w * (5 + 5w + -4y) + 6y * (5 + 5w + -4y)) = 0
x((5 * 7 + 5w * 7 + -4y * 7) + 4w * (5 + 5w + -4y) + 6y * (5 + 5w + -4y)) = 0
x((35 + 35w + -28y) + 4w * (5 + 5w + -4y) + 6y * (5 + 5w + -4y)) = 0
x(35 + 35w + -28y + (5 * 4w + 5w * 4w + -4y * 4w) + 6y * (5 + 5w + -4y)) = 0

Reorder the terms:
x(35 + 35w + -28y + (20w + -16wy + 20w2) + 6y * (5 + 5w + -4y)) = 0
x(35 + 35w + -28y + (20w + -16wy + 20w2) + 6y * (5 + 5w + -4y)) = 0
x(35 + 35w + -28y + 20w + -16wy + 20w2 + (5 * 6y + 5w * 6y + -4y * 6y)) = 0

Reorder the terms:
x(35 + 35w + -28y + 20w + -16wy + 20w2 + (30wy + 30y + -24y2)) = 0
x(35 + 35w + -28y + 20w + -16wy + 20w2 + (30wy + 30y + -24y2)) = 0

Reorder the terms:
x(35 + 35w + 20w + -16wy + 30wy + 20w2 + -28y + 30y + -24y2) = 0

Combine like terms: 35w + 20w = 55w
x(35 + 55w + -16wy + 30wy + 20w2 + -28y + 30y + -24y2) = 0

Combine like terms: -16wy + 30wy = 14wy
x(35 + 55w + 14wy + 20w2 + -28y + 30y + -24y2) = 0

Combine like terms: -28y + 30y = 2y
x(35 + 55w + 14wy + 20w2 + 2y + -24y2) = 0
(35 * x + 55w * x + 14wy * x + 20w2 * x + 2y * x + -24y2 * x) = 0

Reorder the terms:
(55wx + 14wxy + 20w2x + 35x + 2xy + -24xy2) = 0
(55wx + 14wxy + 20w2x + 35x + 2xy + -24xy2) = 0

Solving
55wx + 14wxy + 20w2x + 35x + 2xy + -24xy2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(55w + 14wy + 20w2 + 35 + 2y + -24y2) = 0

Subproblem 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 '(55w + 14wy + 20w2 + 35 + 2y + -24y2)' equal to zero and attempt to solve: Simplifying 55w + 14wy + 20w2 + 35 + 2y + -24y2 = 0 Reorder the terms: 35 + 55w + 14wy + 20w2 + 2y + -24y2 = 0 Solving 35 + 55w + 14wy + 20w2 + 2y + -24y2 = 0 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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