(7x-2)(2x-7)=

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


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

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

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

Multiply (-2 + 7x) * (-7 + 2x)
(-2(-7 + 2x) + 7x * (-7 + 2x)) = 0
((-7 * -2 + 2x * -2) + 7x * (-7 + 2x)) = 0
((14 + -4x) + 7x * (-7 + 2x)) = 0
(14 + -4x + (-7 * 7x + 2x * 7x)) = 0
(14 + -4x + (-49x + 14x2)) = 0

Combine like terms: -4x + -49x = -53x
(14 + -53x + 14x2) = 0

Solving
14 + -53x + 14x2 = 0

Solving for variable 'x'.

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


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

Simplifying
2 + -7x = 0

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

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

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

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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 = {0.2857142857, 3.5}

See similar equations:

| 9x-3=-3(9-x)+4 | | x/2=-15 | | -42=-7/8v | | (x+1)^2/2 | | 1p+5=-8-2p+24 | | -4w-7/4=7/3w-1/3 | | 21x-5(4x-3)-6=11 | | 3x+4-6y=6x-8+7y | | 43=j-15 | | -14+3x+30=4x+28 | | -5(x-2)+3x=2 | | 7x-(30)=180 | | 6(x+2)-5x=15 | | 4x-3andx=-2 | | (X/1+9x^2) | | 2(x-8)+1=19 | | 6+18m=16m+40-4 | | 2/5(3x-7)(5x+10) | | k+90=127 | | 5x+10-4x=3-4 | | 3x+2=5(2x-1) | | 8y+88=83 | | 2.1q-2.5-5.6q=-4.5q-2.4 | | 1/2(2d+6)=P | | e^12-5x-7=123 | | 4m-9=+7 | | 11+w-14=24 | | 1/4c=50 | | -x-3=-3-x | | 5m-15+4m=-10 | | 4c+(-12)=6 | | 4y+36=8y+64 |

Equations solver categories