2(x-5)*5(x-4)=

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


Simplifying
2(x + -5) * 5(x + -4) = 0

Reorder the terms:
2(-5 + x) * 5(x + -4) = 0

Reorder the terms:
2(-5 + x) * 5(-4 + x) = 0

Reorder the terms for easier multiplication:
2 * 5(-5 + x)(-4 + x) = 0

Multiply 2 * 5
10(-5 + x)(-4 + x) = 0

Multiply (-5 + x) * (-4 + x)
10(-5(-4 + x) + x(-4 + x)) = 0
10((-4 * -5 + x * -5) + x(-4 + x)) = 0
10((20 + -5x) + x(-4 + x)) = 0
10(20 + -5x + (-4 * x + x * x)) = 0
10(20 + -5x + (-4x + x2)) = 0

Combine like terms: -5x + -4x = -9x
10(20 + -9x + x2) = 0
(20 * 10 + -9x * 10 + x2 * 10) = 0
(200 + -90x + 10x2) = 0

Solving
200 + -90x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(20 + -9x + x2) = 0

Factor a trinomial.
10((4 + -1x)(5 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {4, 5}

See similar equations:

| x^2=-18x-40 | | 5x-2+3x+4=90 | | 7*y+15*x=240 | | (-4x+3)+(-2x+8)= | | -5+9=15x-4-14x | | -6y=6 | | 4x-5x=11-3 | | 14/10-r=-4/1 | | 10n-20=60 | | -33.04/z-0.03 | | 13=17-4 | | -22+4C=7(5c-2) | | -4x+6y=-4 | | -101-8x=77-31x | | (x-1)(x-1)+15=0 | | 12x-(1(15)+7)=35 | | b+3+4=24 | | 5y-12y=-18-24 | | -4x-(5x+6)=-7x+3 | | -9x-4y=61 | | -6(-2-1)+3= | | 13=m-4 | | 39.43=8g+3.83 | | 0.004=0.12 | | 4/5=36/1 | | 3x+17-7=5(4x+4) | | 4/5=36/1g | | 90=99-x | | 2(2z-5)=2z+13 | | 95=100-x | | 4/5=36g | | 600x-4000=1400 |

Equations solver categories