(1-4x)(1-5x)=4(2x+1)

Simple and best practice solution for (1-4x)(1-5x)=4(2x+1) 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 (1-4x)(1-5x)=4(2x+1) equation: 


Simplifying
(1 + -4x)(1 + -5x) = 4(2x + 1)

Multiply (1 + -4x) * (1 + -5x)
(1(1 + -5x) + -4x * (1 + -5x)) = 4(2x + 1)
((1 * 1 + -5x * 1) + -4x * (1 + -5x)) = 4(2x + 1)
((1 + -5x) + -4x * (1 + -5x)) = 4(2x + 1)
(1 + -5x + (1 * -4x + -5x * -4x)) = 4(2x + 1)
(1 + -5x + (-4x + 20x2)) = 4(2x + 1)

Combine like terms: -5x + -4x = -9x
(1 + -9x + 20x2) = 4(2x + 1)

Reorder the terms:
1 + -9x + 20x2 = 4(1 + 2x)
1 + -9x + 20x2 = (1 * 4 + 2x * 4)
1 + -9x + 20x2 = (4 + 8x)

Solving
1 + -9x + 20x2 = 4 + 8x

Solving for variable 'x'.

Reorder the terms:
1 + -4 + -9x + -8x + 20x2 = 4 + 8x + -4 + -8x

Combine like terms: 1 + -4 = -3
-3 + -9x + -8x + 20x2 = 4 + 8x + -4 + -8x

Combine like terms: -9x + -8x = -17x
-3 + -17x + 20x2 = 4 + 8x + -4 + -8x

Reorder the terms:
-3 + -17x + 20x2 = 4 + -4 + 8x + -8x

Combine like terms: 4 + -4 = 0
-3 + -17x + 20x2 = 0 + 8x + -8x
-3 + -17x + 20x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -17x + 20x2 = 0

Factor a trinomial.
(-3 + -20x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -20x)' equal to zero and attempt to solve:

Simplifying
-3 + -20x = 0

Solving
-3 + -20x = 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 + -20x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -20x = 0 + 3
-20x = 0 + 3

Combine like terms: 0 + 3 = 3
-20x = 3

Divide each side by '-20'.
x = -0.15

Simplifying
x = -0.15

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-0.15, 1}

See similar equations:

| 9r+3=19r+5 | | 7-2x=x+7 | | -12-7x=-8x-7 | | 1.96*(5/x)=1 | | (13/14)/(5/6) | | 8y+9=57 | | 4r+15=8r+3 | | 0.4x+10= | | 7n+1=-2n+1 | | 42x^3-48x^2+7x-8= | | 5x+6x-9x=1+7 | | 3-8n=n-6 | | 5y+6y=-39 | | (3)1/3-5/6 | | 5(2x-5)=3 | | 8mn-6n-12m+9= | | 15log(6+8x)-18=42 | | 4(2x+1)+3=5(3x-2)-4 | | 2n+3=7n-12 | | 2x+3=3+5x | | 8.25+1x=24.35 | | -39/30=40/30u | | 6y+14=28 | | 6y+9y=60 | | 6y+14=38 | | -2/7*-14 | | 6H-42=4H-20 | | -2/7x-14 | | 8.25+1x+9.5= | | 4x(cube)+23y=0 | | 7x^7+7x^6-21x^5+28x^4= | | 9x+1=x+73 |

Equations solver categories