114=3x^2+7

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Solution for 114=3x^2+7 equation:


Simplifying
114 = 3x2 + 7

Reorder the terms:
114 = 7 + 3x2

Solving
114 = 7 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
114 + -3x2 = 7 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
114 + -3x2 = 7 + 0
114 + -3x2 = 7

Add '-114' to each side of the equation.
114 + -114 + -3x2 = 7 + -114

Combine like terms: 114 + -114 = 0
0 + -3x2 = 7 + -114
-3x2 = 7 + -114

Combine like terms: 7 + -114 = -107
-3x2 = -107

Divide each side by '-3'.
x2 = 35.66666667

Simplifying
x2 = 35.66666667

Take the square root of each side:
x = {-5.972157623, 5.972157623}

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