(5x^2-2x+6)-(x^2+2x-3)=0

Simple and best practice solution for (5x^2-2x+6)-(x^2+2x-3)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (5x^2-2x+6)-(x^2+2x-3)=0 equation: 


Simplifying
(5x2 + -2x + 6) + -1(x2 + 2x + -3) = 0

Reorder the terms:
(6 + -2x + 5x2) + -1(x2 + 2x + -3) = 0

Remove parenthesis around (6 + -2x + 5x2)
6 + -2x + 5x2 + -1(x2 + 2x + -3) = 0

Reorder the terms:
6 + -2x + 5x2 + -1(-3 + 2x + x2) = 0
6 + -2x + 5x2 + (-3 * -1 + 2x * -1 + x2 * -1) = 0
6 + -2x + 5x2 + (3 + -2x + -1x2) = 0

Reorder the terms:
6 + 3 + -2x + -2x + 5x2 + -1x2 = 0

Combine like terms: 6 + 3 = 9
9 + -2x + -2x + 5x2 + -1x2 = 0

Combine like terms: -2x + -2x = -4x
9 + -4x + 5x2 + -1x2 = 0

Combine like terms: 5x2 + -1x2 = 4x2
9 + -4x + 4x2 = 0

Solving
9 + -4x + 4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
2.25 + -1x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -1x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -1x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -1x + x2 = 0 + -2.25
-1x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-1x + x2 = -2.25

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -2.25 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -2.25 + 0.25

Combine like terms: -2.25 + 0.25 = -2
0.25 + -1x + x2 = -2

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 1.2t-69=6.2t-104.0 | | 9+3x=23+x | | 5(7-3x)=20 | | 25y=75 | | 2x^2+5x=4x^2-12 | | 4m^2-17m-15=0 | | 14+10y=3(y+14) | | -400=-100x^2 | | 2(10-3x)=17 | | 3p-5=5p+1 | | 6(9-5x)=4 | | (6x^3-4x+3)-(x^2-4x-6)=0 | | 7n=29 | | 5m^2-13m-28=0 | | (3x^2+4x-2)+(2x^2-3x-4)=0 | | 3m^2-22m-45=0 | | 10=5x | | 64y=3 | | k+4-2(k-12)=0 | | (4x^3+2x^2-x+2)+(2x^4-3x^3+5x^2+6x+3)= | | 5c-20=15c+10 | | (x^2-x-3)(3x-2)=0 | | (3x^2-2x)(2x^2+3x-1)= | | 7(16m+12)= | | 144x^2=16 | | 87-4x=23x+15 | | 14-8x=86-36x | | 112m+84= | | 2-1.3x=2x-1.3 | | 2=15 | | C^2+8c+15=0 | | -(b-11)-3b-11=-16 |

Equations solver categories