(4x+5)(4x-36)-(3x+2)(5x-45)=20

Simple and best practice solution for (4x+5)(4x-36)-(3x+2)(5x-45)=20 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+5)(4x-36)-(3x+2)(5x-45)=20 equation: 


Simplifying
(4x + 5)(4x + -36) + -1(3x + 2)(5x + -45) = 20

Reorder the terms:
(5 + 4x)(4x + -36) + -1(3x + 2)(5x + -45) = 20

Reorder the terms:
(5 + 4x)(-36 + 4x) + -1(3x + 2)(5x + -45) = 20

Multiply (5 + 4x) * (-36 + 4x)
(5(-36 + 4x) + 4x * (-36 + 4x)) + -1(3x + 2)(5x + -45) = 20
((-36 * 5 + 4x * 5) + 4x * (-36 + 4x)) + -1(3x + 2)(5x + -45) = 20
((-180 + 20x) + 4x * (-36 + 4x)) + -1(3x + 2)(5x + -45) = 20
(-180 + 20x + (-36 * 4x + 4x * 4x)) + -1(3x + 2)(5x + -45) = 20
(-180 + 20x + (-144x + 16x2)) + -1(3x + 2)(5x + -45) = 20

Combine like terms: 20x + -144x = -124x
(-180 + -124x + 16x2) + -1(3x + 2)(5x + -45) = 20

Reorder the terms:
-180 + -124x + 16x2 + -1(2 + 3x)(5x + -45) = 20

Reorder the terms:
-180 + -124x + 16x2 + -1(2 + 3x)(-45 + 5x) = 20

Multiply (2 + 3x) * (-45 + 5x)
-180 + -124x + 16x2 + -1(2(-45 + 5x) + 3x * (-45 + 5x)) = 20
-180 + -124x + 16x2 + -1((-45 * 2 + 5x * 2) + 3x * (-45 + 5x)) = 20
-180 + -124x + 16x2 + -1((-90 + 10x) + 3x * (-45 + 5x)) = 20
-180 + -124x + 16x2 + -1(-90 + 10x + (-45 * 3x + 5x * 3x)) = 20
-180 + -124x + 16x2 + -1(-90 + 10x + (-135x + 15x2)) = 20

Combine like terms: 10x + -135x = -125x
-180 + -124x + 16x2 + -1(-90 + -125x + 15x2) = 20
-180 + -124x + 16x2 + (-90 * -1 + -125x * -1 + 15x2 * -1) = 20
-180 + -124x + 16x2 + (90 + 125x + -15x2) = 20

Reorder the terms:
-180 + 90 + -124x + 125x + 16x2 + -15x2 = 20

Combine like terms: -180 + 90 = -90
-90 + -124x + 125x + 16x2 + -15x2 = 20

Combine like terms: -124x + 125x = 1x
-90 + 1x + 16x2 + -15x2 = 20

Combine like terms: 16x2 + -15x2 = 1x2
-90 + 1x + 1x2 = 20

Solving
-90 + 1x + 1x2 = 20

Solving for variable 'x'.

Reorder the terms:
-90 + -20 + 1x + 1x2 = 20 + -20

Combine like terms: -90 + -20 = -110
-110 + 1x + 1x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-110 + 1x + 1x2 = 0

Factor a trinomial.
(-11 + -1x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
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
Solution
x = {-11, 10}

See similar equations:

| 2x-7y-4x+4y= | | 3p-12=57 | | (-y+5)-(-9y+7)= | | 9x^2-30x-26=0 | | 6x-4=12x-88 | | 5b=24b-12 | | 31/50= | | 5x+150=0.5x+105 | | 4w+3x-13y+5w+9x+6y= | | 4a-3b-7a-3b=0 | | -20z-0.9=-30z+1.3 | | 7n+3n=180 | | 7-3y=3-4y | | 3t+10= | | 12-.333x=2 | | 5x=(2+X) | | 2/9-8/9= | | 7n-3=4n | | 6(x+4)+9=9x-3(x-5) | | 2(x+5)-3=5(x+2)-9 | | 3sinx=-2.4 | | 34-5=-8(6+5n) | | .9=0.4m | | -4x+9(-2)=-22 | | y=70+.08y | | 5(4x+9)=-46+71 | | 5x+8x+3x=114 | | -2(x-4)-3x=5-5(x+5) | | y=3mx+-2b | | 8x^2=3-10 | | 37+x=27 | | 0.5x-0.3(3)=1.1 |

Equations solver categories