(16-2x)*(10-2x)*(x)=v*x

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Solution for (16-2x)*(10-2x)*(x)=v*x equation:


Simplifying
(16 + -2x)(10 + -2x)(x) = v * x

Reorder the terms for easier multiplication:
x(16 + -2x)(10 + -2x) = v * x

Multiply (16 + -2x) * (10 + -2x)
x(16(10 + -2x) + -2x * (10 + -2x)) = v * x
x((10 * 16 + -2x * 16) + -2x * (10 + -2x)) = v * x
x((160 + -32x) + -2x * (10 + -2x)) = v * x
x(160 + -32x + (10 * -2x + -2x * -2x)) = v * x
x(160 + -32x + (-20x + 4x2)) = v * x

Combine like terms: -32x + -20x = -52x
x(160 + -52x + 4x2) = v * x
(160 * x + -52x * x + 4x2 * x) = v * x
(160x + -52x2 + 4x3) = v * x

Multiply v * x
160x + -52x2 + 4x3 = vx

Solving
160x + -52x2 + 4x3 = vx

Solving for variable 'x'.

Reorder the terms:
-1vx + 160x + -52x2 + 4x3 = vx + -1vx

Combine like terms: vx + -1vx = 0
-1vx + 160x + -52x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1v + 160 + -52x + 4x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1v + 160 + -52x + 4x2)' equal to zero and attempt to solve: Simplifying -1v + 160 + -52x + 4x2 = 0 Reorder the terms: 160 + -1v + -52x + 4x2 = 0 Solving 160 + -1v + -52x + 4x2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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