4x^2-30x+450=0

Simple and best practice solution for 4x^2-30x+450=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 4x^2-30x+450=0 equation: 


Simplifying
4x2 + -30x + 450 = 0

Reorder the terms:
450 + -30x + 4x2 = 0

Solving
450 + -30x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(225 + -15x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(225 + -15x + 2x2)' equal to zero and attempt to solve:

Simplifying
225 + -15x + 2x2 = 0

Solving
225 + -15x + 2x2 = 0

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

Divide each side by '2'.
112.5 + -7.5x + x2 = 0

Move the constant term to the right:

Add '-112.5' to each side of the equation.
112.5 + -7.5x + -112.5 + x2 = 0 + -112.5

Reorder the terms:
112.5 + -112.5 + -7.5x + x2 = 0 + -112.5

Combine like terms: 112.5 + -112.5 = 0.0
0.0 + -7.5x + x2 = 0 + -112.5
-7.5x + x2 = 0 + -112.5

Combine like terms: 0 + -112.5 = -112.5
-7.5x + x2 = -112.5

The x term is -7.5x.  Take half its coefficient (-3.75).
Square it (14.0625) and add it to both sides.

Add '14.0625' to each side of the equation.
-7.5x + 14.0625 + x2 = -112.5 + 14.0625

Reorder the terms:
14.0625 + -7.5x + x2 = -112.5 + 14.0625

Combine like terms: -112.5 + 14.0625 = -98.4375
14.0625 + -7.5x + x2 = -98.4375

Factor a perfect square on the left side:
(x + -3.75)(x + -3.75) = -98.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 4x+7y+4x+36x= | | -3+t=-37 | | 27-r-r-3r=-33 | | -8(0.1x+.3)-1.1=-0.3 | | y=8x+20 | | 2(7+-3y)-3y=-4 | | 70+50+x+71=180 | | -4+2(-16)=4 | | -3u+4+5u=43 | | 8+4k=-8(k+8) | | .6x-.2(11-2x)=-.8(x-4) | | -74=2x+2(4x-2) | | -3(r+2)=-7 | | 4-6(5x+3)=8 | | 1.125n=-54 | | -6n-(-2)=12 | | -108=3g | | 3x-16+18=30+5x | | 33+22= | | 2(-6c-1)=8c-6 | | 5+2x=88 | | 625/x= | | 4w+-9(6+-5w)=44 | | 1x+3+1x-8+1x=55 | | 6x+2(6x-13)=190 | | 8(4-2x)=4(3+5x)+4x | | 5+2=88 | | 21=-(-6x-3) | | 4w+-9(6+5w)=44 | | -35+8a=8(a-5)+5 | | -x-6y=10 | | 0.25p-4+0.25p-4=5 |

Equations solver categories