3x^2+4x-3=x^2-21+4x

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Solution for 3x^2+4x-3=x^2-21+4x equation:


Simplifying
3x2 + 4x + -3 = x2 + -21 + 4x

Reorder the terms:
-3 + 4x + 3x2 = x2 + -21 + 4x

Reorder the terms:
-3 + 4x + 3x2 = -21 + 4x + x2

Add '-4x' to each side of the equation.
-3 + 4x + -4x + 3x2 = -21 + 4x + -4x + x2

Combine like terms: 4x + -4x = 0
-3 + 0 + 3x2 = -21 + 4x + -4x + x2
-3 + 3x2 = -21 + 4x + -4x + x2

Combine like terms: 4x + -4x = 0
-3 + 3x2 = -21 + 0 + x2
-3 + 3x2 = -21 + x2

Solving
-3 + 3x2 = -21 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-3 + 3x2 + -1x2 = -21 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-3 + 2x2 = -21 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 2x2 = -21 + 0
-3 + 2x2 = -21

Add '3' to each side of the equation.
-3 + 3 + 2x2 = -21 + 3

Combine like terms: -3 + 3 = 0
0 + 2x2 = -21 + 3
2x2 = -21 + 3

Combine like terms: -21 + 3 = -18
2x2 = -18

Divide each side by '2'.
x2 = -9

Simplifying
x2 = -9

Reorder the terms:
9 + x2 = -9 + 9

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

The solution to this equation could not be determined.

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