(45+2X)(35+2X)=4875

Simple and best practice solution for (45+2X)(35+2X)=4875 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 (45+2X)(35+2X)=4875 equation: 


Simplifying
(45 + 2X)(35 + 2X) = 4875

Multiply (45 + 2X) * (35 + 2X)
(45(35 + 2X) + 2X * (35 + 2X)) = 4875
((35 * 45 + 2X * 45) + 2X * (35 + 2X)) = 4875
((1575 + 90X) + 2X * (35 + 2X)) = 4875
(1575 + 90X + (35 * 2X + 2X * 2X)) = 4875
(1575 + 90X + (70X + 4X2)) = 4875

Combine like terms: 90X + 70X = 160X
(1575 + 160X + 4X2) = 4875

Solving
1575 + 160X + 4X2 = 4875

Solving for variable 'X'.

Reorder the terms:
1575 + -4875 + 160X + 4X2 = 4875 + -4875

Combine like terms: 1575 + -4875 = -3300
-3300 + 160X + 4X2 = 4875 + -4875

Combine like terms: 4875 + -4875 = 0
-3300 + 160X + 4X2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-825 + 40X + X2) = 0

Factor a trinomial.
4((-55 + -1X)(15 + -1X)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-55 + -1X)' equal to zero and attempt to solve:

Simplifying
-55 + -1X = 0

Solving
-55 + -1X = 0

Move all terms containing X to the left, all other terms to the right.

Add '55' to each side of the equation.
-55 + 55 + -1X = 0 + 55

Combine like terms: -55 + 55 = 0
0 + -1X = 0 + 55
-1X = 0 + 55

Combine like terms: 0 + 55 = 55
-1X = 55

Divide each side by '-1'.
X = -55

Simplifying
X = -55

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

Simplifying
15 + -1X = 0

Solving
15 + -1X = 0

Move all terms containing X to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + -1X = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1X = 0 + -15
-1X = 0 + -15

Combine like terms: 0 + -15 = -15
-1X = -15

Divide each side by '-1'.
X = 15

Simplifying
X = 15
Solution
X = {-55, 15}

See similar equations:

| 28a^2-58a-30= | | -1+p=3 | | n-m=2 | | 10x-3x+12=61 | | x=2+1.5y | | 7x-y=39 | | 2[w-(2w+14)+9]=2(w+5) | | -0.41x=1.64 | | -6(b+6)=-36-6b | | 3x^2+23x+14= | | 3x-15=3(x+15) | | 7n=7(6n+5) | | 2y+n=3 | | (8-y)(2y-9)=0 | | 5(7n+1)=5n+35 | | 6x^2y+7xy^2+y^3= | | 3x+1.1=-2.5 | | 14a-5(a+7)=10 | | -6+9x=-24 | | 9x-3(3x)=0 | | 5-3s=25-7s | | 35+5x=6(-4x+1) | | 6x-5=70 | | x^2-16x+c=0 | | (20-2x)*1.5=10 | | 7z-3=15z-15 | | x-2(3)=-4 | | -7n+18=-5n-8 | | A(1)=4(2)1-1 | | -48=x-6 | | -1=-8+b/4 | | x-1.5=1.83 |

Equations solver categories