1=3x^2-11

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Solution for 1=3x^2-11 equation:


Simplifying
1 = 3x2 + -11

Reorder the terms:
1 = -11 + 3x2

Solving
1 = -11 + 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.
1 + -3x2 = -11 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
1 + -3x2 = -11 + 0
1 + -3x2 = -11

Add '-1' to each side of the equation.
1 + -1 + -3x2 = -11 + -1

Combine like terms: 1 + -1 = 0
0 + -3x2 = -11 + -1
-3x2 = -11 + -1

Combine like terms: -11 + -1 = -12
-3x2 = -12

Divide each side by '-3'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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