(x^2+3)2+21=10x^2+30

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Solution for (x^2+3)2+21=10x^2+30 equation:


Simplifying
(x2 + 3) * 2 + 21 = 10x2 + 30

Reorder the terms:
(3 + x2) * 2 + 21 = 10x2 + 30

Reorder the terms for easier multiplication:
2(3 + x2) + 21 = 10x2 + 30
(3 * 2 + x2 * 2) + 21 = 10x2 + 30
(6 + 2x2) + 21 = 10x2 + 30

Reorder the terms:
6 + 21 + 2x2 = 10x2 + 30

Combine like terms: 6 + 21 = 27
27 + 2x2 = 10x2 + 30

Reorder the terms:
27 + 2x2 = 30 + 10x2

Solving
27 + 2x2 = 30 + 10x2

Solving for variable 'x'.

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

Add '-10x2' to each side of the equation.
27 + 2x2 + -10x2 = 30 + 10x2 + -10x2

Combine like terms: 2x2 + -10x2 = -8x2
27 + -8x2 = 30 + 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
27 + -8x2 = 30 + 0
27 + -8x2 = 30

Add '-27' to each side of the equation.
27 + -27 + -8x2 = 30 + -27

Combine like terms: 27 + -27 = 0
0 + -8x2 = 30 + -27
-8x2 = 30 + -27

Combine like terms: 30 + -27 = 3
-8x2 = 3

Divide each side by '-8'.
x2 = -0.375

Simplifying
x2 = -0.375

Reorder the terms:
0.375 + x2 = -0.375 + 0.375

Combine like terms: -0.375 + 0.375 = 0.000
0.375 + x2 = 0.000

The solution to this equation could not be determined.

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