10x+180=(x+10)(x+4)

Simple and best practice solution for 10x+180=(x+10)(x+4) 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 10x+180=(x+10)(x+4) equation: 


Simplifying
10x + 180 = (x + 10)(x + 4)

Reorder the terms:
180 + 10x = (x + 10)(x + 4)

Reorder the terms:
180 + 10x = (10 + x)(x + 4)

Reorder the terms:
180 + 10x = (10 + x)(4 + x)

Multiply (10 + x) * (4 + x)
180 + 10x = (10(4 + x) + x(4 + x))
180 + 10x = ((4 * 10 + x * 10) + x(4 + x))
180 + 10x = ((40 + 10x) + x(4 + x))
180 + 10x = (40 + 10x + (4 * x + x * x))
180 + 10x = (40 + 10x + (4x + x2))

Combine like terms: 10x + 4x = 14x
180 + 10x = (40 + 14x + x2)

Solving
180 + 10x = 40 + 14x + x2

Solving for variable 'x'.

Reorder the terms:
180 + -40 + 10x + -14x + -1x2 = 40 + 14x + x2 + -40 + -14x + -1x2

Combine like terms: 180 + -40 = 140
140 + 10x + -14x + -1x2 = 40 + 14x + x2 + -40 + -14x + -1x2

Combine like terms: 10x + -14x = -4x
140 + -4x + -1x2 = 40 + 14x + x2 + -40 + -14x + -1x2

Reorder the terms:
140 + -4x + -1x2 = 40 + -40 + 14x + -14x + x2 + -1x2

Combine like terms: 40 + -40 = 0
140 + -4x + -1x2 = 0 + 14x + -14x + x2 + -1x2
140 + -4x + -1x2 = 14x + -14x + x2 + -1x2

Combine like terms: 14x + -14x = 0
140 + -4x + -1x2 = 0 + x2 + -1x2
140 + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
140 + -4x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(14 + x) = 0


Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {10, -14}

See similar equations:

| 66y=132 | | -26+5x=24 | | 21=5m+6+5 | | 12x-2=150 | | 5h-7=12(h+1) | | 72+-5x=27 | | 3k+6.2= | | 9=30n | | x*-6=4 | | 850=1.33*x | | (8y-15)2/3=14 | | 7/5/3 | | 1061=1.71*x | | 2(h+10)=59 | | h(t)=-16t^2+32x+1.5 | | -16r=-75 | | 4/5x-1/10x=9/10x | | 5t-3=(t+7)+3t | | 2x^3-x^2+16x-9=0 | | (2x)+(x)=162 | | 48+(8x+20)=180 | | 25.0=0.520d+14.7 | | t+16.7=-49 | | 1/4q=6 | | 2+4=-(-7x+6) | | f(7)=3x^2-5x | | 36x^2-9x-162=0 | | f(-8)=3x^2-5x | | 4w-3.8=3w-7 | | q+5.1=4.4 | | f(2)=3x^2-5x | | 4x+1-x=2x-13+5 |

Equations solver categories