4x^2+20x+100=75

Simple and best practice solution for 4x^2+20x+100=75 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+20x+100=75 equation:


Simplifying
4x2 + 20x + 100 = 75

Reorder the terms:
100 + 20x + 4x2 = 75

Solving
100 + 20x + 4x2 = 75

Solving for variable 'x'.

Reorder the terms:
100 + -75 + 20x + 4x2 = 75 + -75

Combine like terms: 100 + -75 = 25
25 + 20x + 4x2 = 75 + -75

Combine like terms: 75 + -75 = 0
25 + 20x + 4x2 = 0

Factor a trinomial.
(5 + 2x)(5 + 2x) = 0

Subproblem 1

Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Solution

x = {-2.5, -2.5}

See similar equations:

| 14+26c=42+19c | | (5y^-4/3x)^-3 | | 25x+15=y | | -8-n=n | | -8+3v=2v | | 8+2t=-2t | | 4h=6+6h | | y+6=1.7y | | 2x+(6x-18)=3x+132 | | 115+8d=19 | | 10x-18=3(x+16) | | 12(x-3)=5(x-10) | | -36x+32x=-15 | | 78-5x= | | -48x-12=-12 | | (m-1)x^2-2(m+1)x+m-3=0 | | 16+18j=2j | | Y/4-y/3 | | 7-3a=49 | | -26x-36=-36 | | 62+35=15 | | u-8=-72 | | 45=-15k | | .333(6+x)-5=12 | | 3y/4-y/2=6 | | -60=12n | | R/9=-17 | | t+40=28 | | 0=5(x-2)(x-15) | | 1/3(2.83)= | | 0.2=-20-(x-3.6) | | N^2-14n-3=7 |

Equations solver categories