x^2+8x=8x^2

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Solution for x^2+8x=8x^2 equation:


Simplifying
x2 + 8x = 8x2

Reorder the terms:
8x + x2 = 8x2

Solving
8x + x2 = 8x2

Solving for variable 'x'.

Combine like terms: x2 + -8x2 = -7x2
8x + -7x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
8x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + -7x) = 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 '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 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 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143

Solution

x = {0, 1.142857143}

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