(5x-6)(x-8)=(x+6)(1-2x)

Simple and best practice solution for (5x-6)(x-8)=(x+6)(1-2x) 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-6)(x-8)=(x+6)(1-2x) equation: 


Simplifying
(5x + -6)(x + -8) = (x + 6)(1 + -2x)

Reorder the terms:
(-6 + 5x)(x + -8) = (x + 6)(1 + -2x)

Reorder the terms:
(-6 + 5x)(-8 + x) = (x + 6)(1 + -2x)

Multiply (-6 + 5x) * (-8 + x)
(-6(-8 + x) + 5x * (-8 + x)) = (x + 6)(1 + -2x)
((-8 * -6 + x * -6) + 5x * (-8 + x)) = (x + 6)(1 + -2x)
((48 + -6x) + 5x * (-8 + x)) = (x + 6)(1 + -2x)
(48 + -6x + (-8 * 5x + x * 5x)) = (x + 6)(1 + -2x)
(48 + -6x + (-40x + 5x2)) = (x + 6)(1 + -2x)

Combine like terms: -6x + -40x = -46x
(48 + -46x + 5x2) = (x + 6)(1 + -2x)

Reorder the terms:
48 + -46x + 5x2 = (6 + x)(1 + -2x)

Multiply (6 + x) * (1 + -2x)
48 + -46x + 5x2 = (6(1 + -2x) + x(1 + -2x))
48 + -46x + 5x2 = ((1 * 6 + -2x * 6) + x(1 + -2x))
48 + -46x + 5x2 = ((6 + -12x) + x(1 + -2x))
48 + -46x + 5x2 = (6 + -12x + (1 * x + -2x * x))
48 + -46x + 5x2 = (6 + -12x + (1x + -2x2))

Combine like terms: -12x + 1x = -11x
48 + -46x + 5x2 = (6 + -11x + -2x2)

Solving
48 + -46x + 5x2 = 6 + -11x + -2x2

Solving for variable 'x'.

Reorder the terms:
48 + -6 + -46x + 11x + 5x2 + 2x2 = 6 + -11x + -2x2 + -6 + 11x + 2x2

Combine like terms: 48 + -6 = 42
42 + -46x + 11x + 5x2 + 2x2 = 6 + -11x + -2x2 + -6 + 11x + 2x2

Combine like terms: -46x + 11x = -35x
42 + -35x + 5x2 + 2x2 = 6 + -11x + -2x2 + -6 + 11x + 2x2

Combine like terms: 5x2 + 2x2 = 7x2
42 + -35x + 7x2 = 6 + -11x + -2x2 + -6 + 11x + 2x2

Reorder the terms:
42 + -35x + 7x2 = 6 + -6 + -11x + 11x + -2x2 + 2x2

Combine like terms: 6 + -6 = 0
42 + -35x + 7x2 = 0 + -11x + 11x + -2x2 + 2x2
42 + -35x + 7x2 = -11x + 11x + -2x2 + 2x2

Combine like terms: -11x + 11x = 0
42 + -35x + 7x2 = 0 + -2x2 + 2x2
42 + -35x + 7x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
42 + -35x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(6 + -5x + x2) = 0

Factor a trinomial.
7((2 + -1x)(3 + -1x)) = 0

Ignore the factor 7.

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {2, 3}

See similar equations:

| d+3/4=-1/4 | | 2x+5=6+-4x | | 3x+2y-2x-2y= | | 3y+-9=-3 | | 3y+8=11 | | I=6000(0.08)(70/365) | | 6(7x+-1)=43x | | -7x-2x^2+4=-1 | | 15-3=x | | 4(8-5)=-2y-4 | | 3/4x+1/8(x+5)=1/4 | | 2(5)-4y=10 | | 10h-24=76 | | 6p-q-5p+2q= | | 10+2=y | | I=33000(0.08)(25/365) | | 7.36-4y=18 | | 550=3.25x+6y | | 168=(2x+8)(2x+10) | | 5a-6+3a-5= | | 4(-1)-2y=b | | (4x-3)(x-5)=(x-4)(5x+3) | | 3tan^2x-9=0 | | I=(33000)(0.08)(25/365) | | 5*(20/4)^2 | | 1-2x=10x | | 20+24q-4q^2=0 | | 4.3=29.9-4w | | r=16/3.14 | | I=(33000)(0.08)(0.06) | | 2x-3=3-2x | | 3y+9=-3 |

Equations solver categories