4x^2-10x+5=x-3

Simple and best practice solution for 4x^2-10x+5=x-3 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 4x^2-10x+5=x-3 equation: 


Simplifying
4x2 + -10x + 5 = x + -3

Reorder the terms:
5 + -10x + 4x2 = x + -3

Reorder the terms:
5 + -10x + 4x2 = -3 + x

Solving
5 + -10x + 4x2 = -3 + x

Solving for variable 'x'.

Reorder the terms:
5 + 3 + -10x + -1x + 4x2 = -3 + x + 3 + -1x

Combine like terms: 5 + 3 = 8
8 + -10x + -1x + 4x2 = -3 + x + 3 + -1x

Combine like terms: -10x + -1x = -11x
8 + -11x + 4x2 = -3 + x + 3 + -1x

Reorder the terms:
8 + -11x + 4x2 = -3 + 3 + x + -1x

Combine like terms: -3 + 3 = 0
8 + -11x + 4x2 = 0 + x + -1x
8 + -11x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
8 + -11x + 4x2 = 0

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

Divide each side by '4'.
2 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2.75x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2.75x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2.75x + x2 = 0 + -2
-2.75x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2.75x + x2 = -2

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = -2 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -2 + 1.890625

Combine like terms: -2 + 1.890625 = -0.109375
1.890625 + -2.75x + x2 = -0.109375

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -0.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6(x+4)-8=24-6x-8+12x | | 6(5k+2)=252 | | 3(x-6)=x+10 | | 3x^2+29x-12= | | 2(7x-4)=2(11+x) | | 0.6x-0.5(11-3x)=-0.8(x-4) | | 12=3m-21 | | x-401.99=149.80 | | 3x=-5y-12 | | -13=2-7b-8 | | 2y-5=5t+4 | | -48-4x=-7x+21 | | -11=1+4k+8k | | 0.10(s+200.00)=55.00 | | -8r+5=29 | | -6m+2m=20 | | 0.10(s+200.00)=100.00 | | -b+2b=3 | | -7+2b+2=-1 | | 15x+1=12x+3 | | 4n-9=2n+10 | | 3w-8=-26 | | 2(n+2)=8-n | | 7p+8p=15 | | -21-6t=27 | | 3a+6a=-9 | | 5y=3x-12 | | 2(x+1)=50 | | (x-1)*(x-2)*(x-3)*(x-4)=(x+1)*(x+2)*(x+3)*(x+4) | | -7j+6=-8j | | 10(y+7)=12fory | | 216*12= |

Equations solver categories