4x^2+14=2x^2-40

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Solution for 4x^2+14=2x^2-40 equation:


Simplifying
4x2 + 14 = 2x2 + -40

Reorder the terms:
14 + 4x2 = 2x2 + -40

Reorder the terms:
14 + 4x2 = -40 + 2x2

Solving
14 + 4x2 = -40 + 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.
14 + 4x2 + -2x2 = -40 + 2x2 + -2x2

Combine like terms: 4x2 + -2x2 = 2x2
14 + 2x2 = -40 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
14 + 2x2 = -40 + 0
14 + 2x2 = -40

Add '-14' to each side of the equation.
14 + -14 + 2x2 = -40 + -14

Combine like terms: 14 + -14 = 0
0 + 2x2 = -40 + -14
2x2 = -40 + -14

Combine like terms: -40 + -14 = -54
2x2 = -54

Divide each side by '2'.
x2 = -27

Simplifying
x2 = -27

Reorder the terms:
27 + x2 = -27 + 27

Combine like terms: -27 + 27 = 0
27 + x2 = 0

The solution to this equation could not be determined.

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