(12-2x)(15-2x)=28

Simple and best practice solution for (12-2x)(15-2x)=28 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 (12-2x)(15-2x)=28 equation: 


Simplifying
(12 + -2x)(15 + -2x) = 28

Multiply (12 + -2x) * (15 + -2x)
(12(15 + -2x) + -2x * (15 + -2x)) = 28
((15 * 12 + -2x * 12) + -2x * (15 + -2x)) = 28
((180 + -24x) + -2x * (15 + -2x)) = 28
(180 + -24x + (15 * -2x + -2x * -2x)) = 28
(180 + -24x + (-30x + 4x2)) = 28

Combine like terms: -24x + -30x = -54x
(180 + -54x + 4x2) = 28

Solving
180 + -54x + 4x2 = 28

Solving for variable 'x'.

Reorder the terms:
180 + -28 + -54x + 4x2 = 28 + -28

Combine like terms: 180 + -28 = 152
152 + -54x + 4x2 = 28 + -28

Combine like terms: 28 + -28 = 0
152 + -54x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(76 + -27x + 2x2) = 0

Factor a trinomial.
2((4 + -1x)(19 + -2x)) = 0

Ignore the factor 2.

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 '(19 + -2x)' equal to zero and attempt to solve:

Simplifying
19 + -2x = 0

Solving
19 + -2x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -2x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = 0 + -19
-2x = 0 + -19

Combine like terms: 0 + -19 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5
Solution
x = {4, 9.5}

See similar equations:

| 3y=5x+1 | | 7p^2-(14*14)=0 | | 7y-6=-2 | | x+x+x=3x | | 4a-7=2a-11 | | 2n^4-10n^2-72=0 | | Y=7fourthsx-3 | | 5c-3=2y+9 | | 2p-15=8p-3(5+2p) | | 15a-18a=687 | | (h-9)(h+9)=0 | | logx=3.14 | | 3p^2+2p=49 | | 1.8E+4+x=0 | | x^2+5x+25+-5x=1 | | 3b+2=b+12 | | 7+B=AC | | 18x+4=28 | | 12x^2+18y=-x | | 12+3y=12y | | 6-5InX=2 | | -15/3= | | 3x-18=7x-30 | | 8x*12=24 | | 3(4y)=12y | | 19/1x19/4 | | y=6-(10-2y) | | 8x-28=28 | | x^2-i=0 | | 7x-25=-25+6x | | 5e+3e=36 | | (2x+1)2=25 |

Equations solver categories