X+13=4X^2-40X+100

Simple and best practice solution for X+13=4X^2-40X+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+13=4X^2-40X+100 equation:


Simplifying
X + 13 = 4X2 + -40X + 100

Reorder the terms:
13 + X = 4X2 + -40X + 100

Reorder the terms:
13 + X = 100 + -40X + 4X2

Solving
13 + X = 100 + -40X + 4X2

Solving for variable 'X'.

Reorder the terms:
13 + -100 + X + 40X + -4X2 = 100 + -40X + 4X2 + -100 + 40X + -4X2

Combine like terms: 13 + -100 = -87
-87 + X + 40X + -4X2 = 100 + -40X + 4X2 + -100 + 40X + -4X2

Combine like terms: X + 40X = 41X
-87 + 41X + -4X2 = 100 + -40X + 4X2 + -100 + 40X + -4X2

Reorder the terms:
-87 + 41X + -4X2 = 100 + -100 + -40X + 40X + 4X2 + -4X2

Combine like terms: 100 + -100 = 0
-87 + 41X + -4X2 = 0 + -40X + 40X + 4X2 + -4X2
-87 + 41X + -4X2 = -40X + 40X + 4X2 + -4X2

Combine like terms: -40X + 40X = 0
-87 + 41X + -4X2 = 0 + 4X2 + -4X2
-87 + 41X + -4X2 = 4X2 + -4X2

Combine like terms: 4X2 + -4X2 = 0
-87 + 41X + -4X2 = 0

Factor a trinomial.
(-29 + 4X)(3 + -1X) = 0

Subproblem 1

Set the factor '(-29 + 4X)' equal to zero and attempt to solve: Simplifying -29 + 4X = 0 Solving -29 + 4X = 0 Move all terms containing X to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 4X = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 4X = 0 + 29 4X = 0 + 29 Combine like terms: 0 + 29 = 29 4X = 29 Divide each side by '4'. X = 7.25 Simplifying X = 7.25

Subproblem 2

Set the factor '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3

Solution

X = {7.25, 3}

See similar equations:

| 8v-5v=21 | | -4n^2-4n=5-5n^2 | | y-5=-1.66(x+6) | | (2x-1)/x=3 | | n^2-9n=-2-6n | | Log(x+18)=2 | | 4v^4+-100v^2=0 | | -2n^2+n-23=-3n^2-3 | | -10+(-8x)=6x+(-110) | | -4=2+5y | | -4=0+-10x | | 2x-2=2x+4 | | 4sin*3x+3=1 | | 10b^2+33b+4=-16 | | 5x=20+4x | | 4x-3(x+5)= | | -2/5x-4=-4/5x-10 | | 204=9+3x | | 7+r=1+2r | | 8f-21=-21f+19 | | 7-8/(x^2)=0 | | 6x+2=2(x+10) | | 2-4/(x^2)=0 | | 13/18-1/18 | | n^2-n-323=0 | | -x+4=3x | | Ln(5x)-ln(20)=2 | | 2(-7x-3)=(-104) | | 5/y=8/y | | 35x+17y=1135 | | 7-(8/(x^2))=0 | | 2x+x(3+xy+y^2)= |

Equations solver categories