5x^2+7=2x^2-16

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Solution for 5x^2+7=2x^2-16 equation:


Simplifying
5x2 + 7 = 2x2 + -16

Reorder the terms:
7 + 5x2 = 2x2 + -16

Reorder the terms:
7 + 5x2 = -16 + 2x2

Solving
7 + 5x2 = -16 + 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.
7 + 5x2 + -2x2 = -16 + 2x2 + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
7 + 3x2 = -16 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
7 + 3x2 = -16 + 0
7 + 3x2 = -16

Add '-7' to each side of the equation.
7 + -7 + 3x2 = -16 + -7

Combine like terms: 7 + -7 = 0
0 + 3x2 = -16 + -7
3x2 = -16 + -7

Combine like terms: -16 + -7 = -23
3x2 = -23

Divide each side by '3'.
x2 = -7.666666667

Simplifying
x2 = -7.666666667

Reorder the terms:
7.666666667 + x2 = -7.666666667 + 7.666666667

Combine like terms: -7.666666667 + 7.666666667 = 0.000000000
7.666666667 + x2 = 0.000000000

The solution to this equation could not be determined.

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