(2x-7)(9x-18)=0

Simple and best practice solution for (2x-7)(9x-18)=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 (2x-7)(9x-18)=0 equation: 


Simplifying
(2x + -7)(9x + -18) = 0

Reorder the terms:
(-7 + 2x)(9x + -18) = 0

Reorder the terms:
(-7 + 2x)(-18 + 9x) = 0

Multiply (-7 + 2x) * (-18 + 9x)
(-7(-18 + 9x) + 2x * (-18 + 9x)) = 0
((-18 * -7 + 9x * -7) + 2x * (-18 + 9x)) = 0
((126 + -63x) + 2x * (-18 + 9x)) = 0
(126 + -63x + (-18 * 2x + 9x * 2x)) = 0
(126 + -63x + (-36x + 18x2)) = 0

Combine like terms: -63x + -36x = -99x
(126 + -99x + 18x2) = 0

Solving
126 + -99x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(14 + -11x + 2x2) = 0

Factor a trinomial.
9((2 + -1x)(7 + -2x)) = 0

Ignore the factor 9.

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 '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {2, 3.5}

See similar equations:

| (3x+4)(7x-21)=0 | | (2c+6)(3c+6)=0 | | 2(5+x)= | | 13/17=v/4 | | (3/4)^2-(1/2-1/6)/4/3 | | 2k+2.5=k+13 | | 3(x-3)=-7(x+2)+33 | | q=100-2(30.6) | | 4x=12+8 | | Z/3=z/12+12/4 | | 1/2-7/16 | | 9/5+2/5-5 | | -9/7y=9/14-1/14 | | 6/5-2+2/5 | | 25+250=50x+200 | | -50+3(p-1)=100-2p | | 1/5y=6 | | 132+27x-3=180 | | 10/7+2/7-6 | | -7z-9z=8/5 | | 4x-4=x+2(3x-2)-x | | 13x+2+80=180 | | 13/12z=1/3 | | [2-3x]=7 | | 50+6x+8=180 | | 1/5-7/6=y/30 | | 10/7-2+2/7 | | M/4+4=7/4 | | 13-5x=11+3 | | 3/8x=-2/24 | | 13-5x=14x | | 10k=9 |

Equations solver categories