x^2-30x+100=0

Simple and best practice solution for x^2-30x+100=0 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^2-30x+100=0 equation:


Simplifying
x2 + -30x + 100 = 0

Reorder the terms:
100 + -30x + x2 = 0

Solving
100 + -30x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-100' to each side of the equation.
100 + -30x + -100 + x2 = 0 + -100

Reorder the terms:
100 + -100 + -30x + x2 = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -30x + x2 = 0 + -100
-30x + x2 = 0 + -100

Combine like terms: 0 + -100 = -100
-30x + x2 = -100

The x term is -30x.  Take half its coefficient (-15).
Square it (225) and add it to both sides.

Add '225' to each side of the equation.
-30x + 225 + x2 = -100 + 225

Reorder the terms:
225 + -30x + x2 = -100 + 225

Combine like terms: -100 + 225 = 125
225 + -30x + x2 = 125

Factor a perfect square on the left side:
(x + -15)(x + -15) = 125

Calculate the square root of the right side: 11.180339887

Break this problem into two subproblems by setting 
(x + -15) equal to 11.180339887 and -11.180339887.

Subproblem 1

x + -15 = 11.180339887 Simplifying x + -15 = 11.180339887 Reorder the terms: -15 + x = 11.180339887 Solving -15 + x = 11.180339887 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 11.180339887 + 15 Combine like terms: -15 + 15 = 0 0 + x = 11.180339887 + 15 x = 11.180339887 + 15 Combine like terms: 11.180339887 + 15 = 26.180339887 x = 26.180339887 Simplifying x = 26.180339887

Subproblem 2

x + -15 = -11.180339887 Simplifying x + -15 = -11.180339887 Reorder the terms: -15 + x = -11.180339887 Solving -15 + x = -11.180339887 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = -11.180339887 + 15 Combine like terms: -15 + 15 = 0 0 + x = -11.180339887 + 15 x = -11.180339887 + 15 Combine like terms: -11.180339887 + 15 = 3.819660113 x = 3.819660113 Simplifying x = 3.819660113

Solution

The solution to the problem is based on the solutions from the subproblems. x = {26.180339887, 3.819660113}

See similar equations:

| f(x)=2x*cos(3x) | | 4(5x+1)-6=2(8x+9) | | 4x+7h=6795 | | Y=2logx | | L=lnc | | ln(2x)-ln(3x)=0 | | 2d^2+4d=16 | | 1.05x=8 | | 2(x+25)=x+5 | | 8x^3-6xy-2y+3x^2=0 | | 10+w=-19w-10-10 | | x+7/5x+x+7/5x=408 | | +7/5x+x+7/5x@=408 | | 16x^2+32x=128 | | 2x^2-5ax+3a^2=0 | | 4x(90-x)+6=180-x | | 8-x=-5x | | x^2+2bx+b^2=0 | | 2-3x=3x-10 | | 19-x=3x+3 | | 21y+6=18 | | 28-3x=8-8x | | 9x+11=26 | | 5+8x=-9 | | -x^3+7x^2=66 | | -x^3+7x=66 | | 20y+6=22 | | y=9E+6x+331272 | | 4h+2=3 | | 3x^2-4xy+y^2-3x+2=0 | | (4-3x)(y-6x)=0 | | (y-6x)=0 |

Equations solver categories