x^2=5(x-100)

Simple and best practice solution for x^2=5(x-100) 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 x^2=5(x-100) equation:


Simplifying
x2 = 5(x + -100)

Reorder the terms:
x2 = 5(-100 + x)
x2 = (-100 * 5 + x * 5)
x2 = (-500 + 5x)

Solving
x2 = -500 + 5x

Solving for variable 'x'.

Reorder the terms:
500 + -5x + x2 = -500 + 5x + 500 + -5x

Reorder the terms:
500 + -5x + x2 = -500 + 500 + 5x + -5x

Combine like terms: -500 + 500 = 0
500 + -5x + x2 = 0 + 5x + -5x
500 + -5x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
500 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-500' to each side of the equation.
500 + -5x + -500 + x2 = 0 + -500

Reorder the terms:
500 + -500 + -5x + x2 = 0 + -500

Combine like terms: 500 + -500 = 0
0 + -5x + x2 = 0 + -500
-5x + x2 = 0 + -500

Combine like terms: 0 + -500 = -500
-5x + x2 = -500

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -500 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -500 + 6.25

Combine like terms: -500 + 6.25 = -493.75
6.25 + -5x + x2 = -493.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -493.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| .25x+.05(14-x)=.10(-9) | | 7x-4x=x+6 | | 2x+8=98 | | 36-3x=4+x | | 12x+3=2(3x+1)-x+9 | | -2(z-4)-(3z-2)=-2-(6z-2) | | 36-3x=4x | | -x+3+9x=-3+2x+12 | | 6x^2+13x-26=0 | | 28(3x-4)+28(x+3)=28*8 | | 7x+3=19+3x | | 2x^2+3x-90=0 | | x+9y=2 | | 5x-7x=16 | | 7+9(x-2)=6-3(x-7) | | 4x+9x=52 | | 15(t-3)+6t=7(3t+5)-8 | | -6(2p+2)-4=4(3p+8) | | 4(2+2x)=7(x-5) | | 16=7-5(x) | | -57+11y+7=4(5y-2)-6 | | 4t-4=6-t | | (4+X)*.5=6 | | 4(c-5)=5(c-7) | | -(3y+3)-(-2y-6)=-3 | | p=c+4b+a | | p=c | | x^9+64x^6=0 | | 12=4x-12 | | 8x=4x+20 | | -9m+52-9(m-2)=8m-(6m-5)-4m+1 | | 3x(x+2)=1 |

Equations solver categories