2x(x+1)-5(x-3)=5

Simple and best practice solution for 2x(x+1)-5(x-3)=5 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 2x(x+1)-5(x-3)=5 equation: 


Simplifying
2x(x + 1) + -5(x + -3) = 5

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

Reorder the terms:
2x + 2x2 + -5(-3 + x) = 5
2x + 2x2 + (-3 * -5 + x * -5) = 5
2x + 2x2 + (15 + -5x) = 5

Reorder the terms:
15 + 2x + -5x + 2x2 = 5

Combine like terms: 2x + -5x = -3x
15 + -3x + 2x2 = 5

Solving
15 + -3x + 2x2 = 5

Solving for variable 'x'.

Reorder the terms:
15 + -5 + -3x + 2x2 = 5 + -5

Combine like terms: 15 + -5 = 10
10 + -3x + 2x2 = 5 + -5

Combine like terms: 5 + -5 = 0
10 + -3x + 2x2 = 0

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

Divide each side by '2'.
5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -1.5x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -1.5x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1.5x + x2 = 0 + -5
-1.5x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1.5x + x2 = -5

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -5 + 0.5625

Combine like terms: -5 + 0.5625 = -4.4375
0.5625 + -1.5x + x2 = -4.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -4.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 20x+45=85 | | 4/3x=2.5x/7.5 | | n/14=50/100 | | Y=4*In*3x+ln*x | | 17-2x=14-4x | | sqrt(2x+5)-1=x | | 90=10p-9 | | cos^2(2x)-cos^2(3x)=sin^2(3x)-sin^2(x) | | (3x+9)(4x-8)=(x-1)(12x+60)+132 | | -(3x-4)+3x= | | 11w(w^2+2w+6)= | | 5+10n=55 | | cos^2(x)-cos^2(3x)=sin^2(3x)-sin^2(x) | | 5d(-d^3+2d^2-3d)= | | -7w+4w-24=3 | | 4x+8(x-8)= | | F(5)=6*5-2 | | 0.1x=x-360 | | 2v+6-6v=22 | | -20=5+5x | | 87+58+x=180 | | F(4)=6*4-2 | | x+90+25=180 | | x^2+0.8x+c=y | | (-2x+7)(x+2)-(10x-3)(-2x+7)=0 | | 140+x+25=180 | | f(x)=2x^2whatisf(3) | | 1+4m=5m | | F(3)=6*3-2 | | -34=m-4 | | F(2)=6*2-2 | | -10+3w=10+8w+10 |

Equations solver categories