2x^2-5=4-2x^2

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


Simplifying
2x2 + -5 = 4 + -2x2

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

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

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

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

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

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

Combine like terms: 4 + 5 = 9
4x2 = 9

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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