0.015x^2+8=-0.025x^2+12

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Solution for 0.015x^2+8=-0.025x^2+12 equation: 


Simplifying
0.015x2 + 8 = -0.025x2 + 12

Reorder the terms:
8 + 0.015x2 = -0.025x2 + 12

Reorder the terms:
8 + 0.015x2 = 12 + -0.025x2

Solving
8 + 0.015x2 = 12 + -0.025x2

Solving for variable 'x'.

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

Add '0.025x2' to each side of the equation.
8 + 0.015x2 + 0.025x2 = 12 + -0.025x2 + 0.025x2

Combine like terms: 0.015x2 + 0.025x2 = 0.04x2
8 + 0.04x2 = 12 + -0.025x2 + 0.025x2

Combine like terms: -0.025x2 + 0.025x2 = 0.000
8 + 0.04x2 = 12 + 0.000
8 + 0.04x2 = 12

Add '-8' to each side of the equation.
8 + -8 + 0.04x2 = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 0.04x2 = 12 + -8
0.04x2 = 12 + -8

Combine like terms: 12 + -8 = 4
0.04x2 = 4

Divide each side by '0.04'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}

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