32x^2-14=24x^2-12

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Solution for 32x^2-14=24x^2-12 equation: 


Simplifying
32x2 + -14 = 24x2 + -12

Reorder the terms:
-14 + 32x2 = 24x2 + -12

Reorder the terms:
-14 + 32x2 = -12 + 24x2

Solving
-14 + 32x2 = -12 + 24x2

Solving for variable 'x'.

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

Add '-24x2' to each side of the equation.
-14 + 32x2 + -24x2 = -12 + 24x2 + -24x2

Combine like terms: 32x2 + -24x2 = 8x2
-14 + 8x2 = -12 + 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-14 + 8x2 = -12 + 0
-14 + 8x2 = -12

Add '14' to each side of the equation.
-14 + 14 + 8x2 = -12 + 14

Combine like terms: -14 + 14 = 0
0 + 8x2 = -12 + 14
8x2 = -12 + 14

Combine like terms: -12 + 14 = 2
8x2 = 2

Divide each side by '8'.
x2 = 0.25

Simplifying
x2 = 0.25

Take the square root of each side:
x = {-0.5, 0.5}

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