(5x-4)(x-9)=(x+16)(1-5x)

Simple and best practice solution for (5x-4)(x-9)=(x+16)(1-5x) 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 (5x-4)(x-9)=(x+16)(1-5x) equation: 


Simplifying
(5x + -4)(x + -9) = (x + 16)(1 + -5x)

Reorder the terms:
(-4 + 5x)(x + -9) = (x + 16)(1 + -5x)

Reorder the terms:
(-4 + 5x)(-9 + x) = (x + 16)(1 + -5x)

Multiply (-4 + 5x) * (-9 + x)
(-4(-9 + x) + 5x * (-9 + x)) = (x + 16)(1 + -5x)
((-9 * -4 + x * -4) + 5x * (-9 + x)) = (x + 16)(1 + -5x)
((36 + -4x) + 5x * (-9 + x)) = (x + 16)(1 + -5x)
(36 + -4x + (-9 * 5x + x * 5x)) = (x + 16)(1 + -5x)
(36 + -4x + (-45x + 5x2)) = (x + 16)(1 + -5x)

Combine like terms: -4x + -45x = -49x
(36 + -49x + 5x2) = (x + 16)(1 + -5x)

Reorder the terms:
36 + -49x + 5x2 = (16 + x)(1 + -5x)

Multiply (16 + x) * (1 + -5x)
36 + -49x + 5x2 = (16(1 + -5x) + x(1 + -5x))
36 + -49x + 5x2 = ((1 * 16 + -5x * 16) + x(1 + -5x))
36 + -49x + 5x2 = ((16 + -80x) + x(1 + -5x))
36 + -49x + 5x2 = (16 + -80x + (1 * x + -5x * x))
36 + -49x + 5x2 = (16 + -80x + (1x + -5x2))

Combine like terms: -80x + 1x = -79x
36 + -49x + 5x2 = (16 + -79x + -5x2)

Solving
36 + -49x + 5x2 = 16 + -79x + -5x2

Solving for variable 'x'.

Reorder the terms:
36 + -16 + -49x + 79x + 5x2 + 5x2 = 16 + -79x + -5x2 + -16 + 79x + 5x2

Combine like terms: 36 + -16 = 20
20 + -49x + 79x + 5x2 + 5x2 = 16 + -79x + -5x2 + -16 + 79x + 5x2

Combine like terms: -49x + 79x = 30x
20 + 30x + 5x2 + 5x2 = 16 + -79x + -5x2 + -16 + 79x + 5x2

Combine like terms: 5x2 + 5x2 = 10x2
20 + 30x + 10x2 = 16 + -79x + -5x2 + -16 + 79x + 5x2

Reorder the terms:
20 + 30x + 10x2 = 16 + -16 + -79x + 79x + -5x2 + 5x2

Combine like terms: 16 + -16 = 0
20 + 30x + 10x2 = 0 + -79x + 79x + -5x2 + 5x2
20 + 30x + 10x2 = -79x + 79x + -5x2 + 5x2

Combine like terms: -79x + 79x = 0
20 + 30x + 10x2 = 0 + -5x2 + 5x2
20 + 30x + 10x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
20 + 30x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(2 + 3x + x2) = 0

Factor a trinomial.
10((2 + x)(1 + x)) = 0

Ignore the factor 10.

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-2, -1}

See similar equations:

| 3x+5y+3+3x-5y= | | x-5=2-12(x+6) | | x=40x | | 30+25x=20+55x | | 2a=37 | | x+0.1x=5000 | | -32=2+-7b | | Sin(x)=.88 | | Sinx=.88 | | 24c=1440 | | ((-7a^2b^3c^0)/(3a^2b^4c^3))^-4 | | (3x-4)(x-8)=(x-6)(4x-5) | | y^2-2y-4=16y-32 | | 5n-11=3n-13 | | 5x-3-30=4x-3+6x | | (-7a^2b^3c^0)/(3a^2b^4c^3)^-4 | | 27-2x=20-8x | | 32m=2496 | | -152=-8(6x+1) | | 5x+11=5x-17 | | 4y+(-2)=34 | | 22=-3(5k+6) | | 5x+11=-8x-17 | | 8x-27+146=180 | | Y=-x+250 | | 7x+13=7x-18 | | 2-8(1-9n)=28 | | 7x+13=-8x-18 | | 13p=546 | | 0=m-5-6m | | -y(dx)+(x+sqrt(xy))(dy)=0 | | 8x-27+29=180 |

Equations solver categories