(x-7)(2x-10)=0

Simple and best practice solution for (x-7)(2x-10)=0 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 (x-7)(2x-10)=0 equation: 


Simplifying
(x + -7)(2x + -10) = 0

Reorder the terms:
(-7 + x)(2x + -10) = 0

Reorder the terms:
(-7 + x)(-10 + 2x) = 0

Multiply (-7 + x) * (-10 + 2x)
(-7(-10 + 2x) + x(-10 + 2x)) = 0
((-10 * -7 + 2x * -7) + x(-10 + 2x)) = 0
((70 + -14x) + x(-10 + 2x)) = 0
(70 + -14x + (-10 * x + 2x * x)) = 0
(70 + -14x + (-10x + 2x2)) = 0

Combine like terms: -14x + -10x = -24x
(70 + -24x + 2x2) = 0

Solving
70 + -24x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(35 + -12x + x2) = 0

Factor a trinomial.
2((5 + -1x)(7 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {5, 7}

See similar equations:

| 17y+-8= | | -3(2n-5)=0.5(12n+30) | | 155=31c | | (-9a^3b^2)(6ab^3)= | | 3-80=5+8 | | 1.5x-y=40 | | 2(44)=g | | 4+9n=1-2 | | 4x-3*0+12=0 | | -2.75=-.042r | | 68=4q | | 3x+4x=23 | | 27x-29x=5-7 | | 50x-41-2x=15x-10 | | 4x+5=x-11 | | 3x-12x+4=0 | | -49+17=-4x+12x | | 5x-(-4-4)=10 | | 14-29n-39=4n-(7n-3) | | -3.5=-0.6u+0.1u | | x^4+6x^3+8x^2-9=0 | | x+x-14+14=82+14 | | 12-2x=3(2x+17) | | 3x-7=3x-2 | | 7(2x+3)-6x=8x+30-9 | | -3(2n-5)=0.5(-12n+30n) | | 15x-4+15x=15x-1 | | 170x+1120y=4380 | | 15:40=18:n | | 9-(9)2=10x-x | | 170x+1120y=4580 | | 4x+2(3x+8)=32+2x |

Equations solver categories