x*7x*8=x*p

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Solution for x*7x*8=x*p equation:


Simplifying
x * 7x * 8 = x * p

Reorder the terms for easier multiplication:
7 * 8x * x = x * p

Multiply 7 * 8
56x * x = x * p

Multiply x * x
56x2 = x * p

Multiply x * p
56x2 = px

Solving
56x2 = px

Solving for variable 'x'.

Reorder the terms:
-1px + 56x2 = px + -1px

Combine like terms: px + -1px = 0
-1px + 56x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1p + 56x) = 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 '(-1p + 56x)' equal to zero and attempt to solve: Simplifying -1p + 56x = 0 Solving -1p + 56x = 0 Move all terms containing x to the left, all other terms to the right. Add 'p' to each side of the equation. -1p + p + 56x = 0 + p Combine like terms: -1p + p = 0 0 + 56x = 0 + p 56x = 0 + p Remove the zero: 56x = p Divide each side by '56'. x = 0.01785714286p Simplifying x = 0.01785714286p

Solution

x = {0, 0.01785714286p}

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