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Simplifying
84 = 4x2 + 42
Reorder the terms:
84 = 42 + 4x2
Solving
84 = 42 + 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.
84 + -4x2 = 42 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
84 + -4x2 = 42 + 0
84 + -4x2 = 42
Add '-84' to each side of the equation.
84 + -84 + -4x2 = 42 + -84
Combine like terms: 84 + -84 = 0
0 + -4x2 = 42 + -84
-4x2 = 42 + -84
Combine like terms: 42 + -84 = -42
-4x2 = -42
Divide each side by '-4'.
x2 = 10.5
Simplifying
x2 = 10.5
Take the square root of each side:
x = {-3.240370349, 3.240370349}
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