5x^2=10x-7

Simple and best practice solution for 5x^2=10x-7 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=10x-7 equation:


Simplifying
5x2 = 10x + -7

Reorder the terms:
5x2 = -7 + 10x

Solving
5x2 = -7 + 10x

Solving for variable 'x'.

Reorder the terms:
7 + -10x + 5x2 = -7 + 10x + 7 + -10x

Reorder the terms:
7 + -10x + 5x2 = -7 + 7 + 10x + -10x

Combine like terms: -7 + 7 = 0
7 + -10x + 5x2 = 0 + 10x + -10x
7 + -10x + 5x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
7 + -10x + 5x2 = 0

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

Divide each side by '5'.
1.4 + -2x + x2 = 0

Move the constant term to the right:

Add '-1.4' to each side of the equation.
1.4 + -2x + -1.4 + x2 = 0 + -1.4

Reorder the terms:
1.4 + -1.4 + -2x + x2 = 0 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -2x + x2 = 0 + -1.4
-2x + x2 = 0 + -1.4

Combine like terms: 0 + -1.4 = -1.4
-2x + x2 = -1.4

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -1.4 + 1

Reorder the terms:
1 + -2x + x2 = -1.4 + 1

Combine like terms: -1.4 + 1 = -0.4
1 + -2x + x2 = -0.4

Factor a perfect square on the left side:
(x + -1)(x + -1) = -0.4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 10x+22=2(5x+6) | | 4p=6(p+12) | | 9+-15+8= | | -6+-4+3= | | 8(3x+1)=28x | | 3+2z-2=9z+10-4z | | -6n^2-8n=-30-7n^2+3n | | 32=5(u-8)+3u | | 2(2x-3)=2(4x-5) | | 6x+17-4x+17=-2 | | 6=x^2+2x-8 | | 4+10x=15x+18 | | -12-7x=10x+10 | | -63=2x+9x-19 | | -6x-3x=-9 | | -4(1+7m)-4(3+4m)=-16 | | 2(3x-6)x= | | 8x^2+72x=-144 | | 7(w+3)-3w=-19 | | 0.4(11.6-3x)=-0.4x | | 3x^2+15=-8x | | -3y-5y-27=29 | | 4x-5=5x-14 | | 0.06p+0.08(1700-p)=85 | | 24(x-1)=6(4-x)+18x | | 7=6x+34+3x | | 3(k-5)=2k+10 | | 7(y-4)/3=-3y | | 1-5x^2=0 | | -6(x+2)=3-6x | | 24=-[2]v | | 3x+5+20x-9=180 |

Equations solver categories