3+4x^2=2x^2+5

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Solution for 3+4x^2=2x^2+5 equation:


Simplifying
3 + 4x2 = 2x2 + 5

Reorder the terms:
3 + 4x2 = 5 + 2x2

Solving
3 + 4x2 = 5 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
3 + 4x2 + -2x2 = 5 + 2x2 + -2x2

Combine like terms: 4x2 + -2x2 = 2x2
3 + 2x2 = 5 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
3 + 2x2 = 5 + 0
3 + 2x2 = 5

Add '-3' to each side of the equation.
3 + -3 + 2x2 = 5 + -3

Combine like terms: 3 + -3 = 0
0 + 2x2 = 5 + -3
2x2 = 5 + -3

Combine like terms: 5 + -3 = 2
2x2 = 2

Divide each side by '2'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}

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