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Simplifying
8 = -0.4x2 + 12
Reorder the terms:
8 = 12 + -0.4x2
Solving
8 = 12 + -0.4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.4x2' to each side of the equation.
8 + 0.4x2 = 12 + -0.4x2 + 0.4x2
Combine like terms: -0.4x2 + 0.4x2 = 0.0
8 + 0.4x2 = 12 + 0.0
8 + 0.4x2 = 12
Add '-8' to each side of the equation.
8 + -8 + 0.4x2 = 12 + -8
Combine like terms: 8 + -8 = 0
0 + 0.4x2 = 12 + -8
0.4x2 = 12 + -8
Combine like terms: 12 + -8 = 4
0.4x2 = 4
Divide each side by '0.4'.
x2 = 10
Simplifying
x2 = 10
Take the square root of each side:
x = {-3.16227766, 3.16227766}
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