4x^2+9=2x^2-1

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Solution for 4x^2+9=2x^2-1 equation:


Simplifying
4x2 + 9 = 2x2 + -1

Reorder the terms:
9 + 4x2 = 2x2 + -1

Reorder the terms:
9 + 4x2 = -1 + 2x2

Solving
9 + 4x2 = -1 + 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.
9 + 4x2 + -2x2 = -1 + 2x2 + -2x2

Combine like terms: 4x2 + -2x2 = 2x2
9 + 2x2 = -1 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
9 + 2x2 = -1 + 0
9 + 2x2 = -1

Add '-9' to each side of the equation.
9 + -9 + 2x2 = -1 + -9

Combine like terms: 9 + -9 = 0
0 + 2x2 = -1 + -9
2x2 = -1 + -9

Combine like terms: -1 + -9 = -10
2x2 = -10

Divide each side by '2'.
x2 = -5

Simplifying
x2 = -5

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

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

The solution to this equation could not be determined.

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