2=4x^2-5

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Solution for 2=4x^2-5 equation:


Simplifying
2 = 4x2 + -5

Reorder the terms:
2 = -5 + 4x2

Solving
2 = -5 + 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.
2 + -4x2 = -5 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
2 + -4x2 = -5 + 0
2 + -4x2 = -5

Add '-2' to each side of the equation.
2 + -2 + -4x2 = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -4x2 = -5 + -2
-4x2 = -5 + -2

Combine like terms: -5 + -2 = -7
-4x2 = -7

Divide each side by '-4'.
x2 = 1.75

Simplifying
x2 = 1.75

Take the square root of each side:
x = {-1.322875656, 1.322875656}

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