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Simplifying
4x2 + x2 + 8 = 56
Reorder the terms:
8 + 4x2 + x2 = 56
Combine like terms: 4x2 + x2 = 5x2
8 + 5x2 = 56
Solving
8 + 5x2 = 56
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 5x2 = 56 + -8
Combine like terms: 8 + -8 = 0
0 + 5x2 = 56 + -8
5x2 = 56 + -8
Combine like terms: 56 + -8 = 48
5x2 = 48
Divide each side by '5'.
x2 = 9.6
Simplifying
x2 = 9.6
Take the square root of each side:
x = {-3.098386677, 3.098386677}
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