5x-7=2x(x+1)

Simple and best practice solution for 5x-7=2x(x+1) 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-7=2x(x+1) equation: 


Simplifying
5x + -7 = 2x(x + 1)

Reorder the terms:
-7 + 5x = 2x(x + 1)

Reorder the terms:
-7 + 5x = 2x(1 + x)
-7 + 5x = (1 * 2x + x * 2x)
-7 + 5x = (2x + 2x2)

Solving
-7 + 5x = 2x + 2x2

Solving for variable 'x'.

Combine like terms: 5x + -2x = 3x
-7 + 3x + -2x2 = 2x + 2x2 + -2x + -2x2

Reorder the terms:
-7 + 3x + -2x2 = 2x + -2x + 2x2 + -2x2

Combine like terms: 2x + -2x = 0
-7 + 3x + -2x2 = 0 + 2x2 + -2x2
-7 + 3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-7 + 3x + -2x2 = 0

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

Divide each side by '-2'.
3.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -1.5x + -3.5 + x2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -1.5x + x2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -1.5x + x2 = 0 + -3.5
-1.5x + x2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-1.5x + x2 = -3.5

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 = -3.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -3.5 + 0.5625

Combine like terms: -3.5 + 0.5625 = -2.9375
0.5625 + -1.5x + x2 = -2.9375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| -12x-3(4x+22)=6 | | 0.35t+0.65(10-t)=0.79(10) | | 16-5(3t+-4)=8(-2t+11) | | -3(x-5)=2 | | 16-5(3+-4)=8(-2+11) | | 2m-8m=-36 | | 6-2x=14+6x | | 8x-(5x+4)= | | 3(3n-1)-4(2n+3)+5(-4n-1)= | | 2x+11/3+x-11/4=11/2 | | x+6=x+12 | | 1/2(d-3)-7/3(2d-2)=5/12 | | 3x+15=5x+11 | | 4v^2-32v+224=0 | | 12Z+12-Z^2-1=20Z-20 | | 5(t-4)+18= | | 12Z+12-Z^2-1= | | w(4w-5)-4w(w-4)=w-1 | | 10x+28(x-4)=382 | | v^2-8v+56=0 | | -5(8-7x)-(1-x)=5(x-7) | | 10x+28(x-4)=32 | | -12-3=y | | v^2-8v+56= | | -5=2z-5 | | (6+4i)(8-3i)= | | -7j-12=9 | | y^2-24=0 | | x+(x-36)=180 | | 4(3-8)= | | 20x=1,400,000 | | 4*110,000+960,000= |

Equations solver categories