x(10x^7-9)=7x

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Solution for x(10x^7-9)=7x equation:


Simplifying
x(10x7 + -9) = 7x

Reorder the terms:
x(-9 + 10x7) = 7x
(-9 * x + 10x7 * x) = 7x
(-9x + 10x8) = 7x

Solving
-9x + 10x8 = 7x

Solving for variable 'x'.

Reorder the terms:
-9x + -7x + 10x8 = 7x + -7x

Combine like terms: -9x + -7x = -16x
-16x + 10x8 = 7x + -7x

Combine like terms: 7x + -7x = 0
-16x + 10x8 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-8 + 5x7) = 0

Ignore the factor 2.

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 '(-8 + 5x7)' equal to zero and attempt to solve: Simplifying -8 + 5x7 = 0 Solving -8 + 5x7 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x7 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5x7 = 0 + 8 5x7 = 0 + 8 Combine like terms: 0 + 8 = 8 5x7 = 8 Divide each side by '5'. x7 = 1.6 Simplifying x7 = 1.6 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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