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Simplifying
4x2 + 7 = 39
Reorder the terms:
7 + 4x2 = 39
Solving
7 + 4x2 = 39
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 4x2 = 39 + -7
Combine like terms: 7 + -7 = 0
0 + 4x2 = 39 + -7
4x2 = 39 + -7
Combine like terms: 39 + -7 = 32
4x2 = 32
Divide each side by '4'.
x2 = 8
Simplifying
x2 = 8
Take the square root of each side:
x = {-2.828427125, 2.828427125}
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