10x^2=6x^2+64

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Solution for 10x^2=6x^2+64 equation:


Simplifying
10x2 = 6x2 + 64

Reorder the terms:
10x2 = 64 + 6x2

Solving
10x2 = 64 + 6x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x2' to each side of the equation.
10x2 + -6x2 = 64 + 6x2 + -6x2

Combine like terms: 10x2 + -6x2 = 4x2
4x2 = 64 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
4x2 = 64 + 0
4x2 = 64

Divide each side by '4'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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