6x^2=-4x^2+160

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Solution for 6x^2=-4x^2+160 equation: 


Simplifying
6x2 = -4x2 + 160

Reorder the terms:
6x2 = 160 + -4x2

Solving
6x2 = 160 + -4x2

Solving for variable 'x'.

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

Add '4x2' to each side of the equation.
6x2 + 4x2 = 160 + -4x2 + 4x2

Combine like terms: 6x2 + 4x2 = 10x2
10x2 = 160 + -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
10x2 = 160 + 0
10x2 = 160

Divide each side by '10'.
x2 = 16

Simplifying
x2 = 16

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

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