7x(x-2)-5(2-x)=0

Simple and best practice solution for 7x(x-2)-5(2-x)=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 7x(x-2)-5(2-x)=0 equation: 


Simplifying
7x(x + -2) + -5(2 + -1x) = 0

Reorder the terms:
7x(-2 + x) + -5(2 + -1x) = 0
(-2 * 7x + x * 7x) + -5(2 + -1x) = 0
(-14x + 7x2) + -5(2 + -1x) = 0
-14x + 7x2 + (2 * -5 + -1x * -5) = 0
-14x + 7x2 + (-10 + 5x) = 0

Reorder the terms:
-10 + -14x + 5x + 7x2 = 0

Combine like terms: -14x + 5x = -9x
-10 + -9x + 7x2 = 0

Solving
-10 + -9x + 7x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-5 + -7x)' equal to zero and attempt to solve:

Simplifying
-5 + -7x = 0

Solving
-5 + -7x = 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 + -7x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7x = 0 + 5
-7x = 0 + 5

Combine like terms: 0 + 5 = 5
-7x = 5

Divide each side by '-7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

Subproblem 2
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
Solution
x = {-0.7142857143, 2}

See similar equations:

| (0.008)square2/3 | | 12-x=3/4 | | 3(2x-4)=2x+8 | | 11.3= | | 9(x+4)=6(2x-2) | | (3y-8)(1-y)=0 | | (m-1)(m^2+m+1)=y | | 2n^2-10n+9= | | 2x^4=2x^3-24x^2 | | 2n^2-10n+9=0 | | 6(x-3)+20=3(7-x) | | 0.66666667(4x-7)=-2 | | (4n+6)(2n)=0 | | (4n+6)=(2n) | | 6c-7=4c+7 | | -10=-3-82 | | 2x+3=9+21x | | -5x+10=120+6x | | -32+2p=-4(1+3p) | | 6y^2-31y+14=0 | | 4(x-6)+24=2(12-x) | | 3(x-6)=2x-18+x | | 14y^2+27y-20=0 | | ln(x-5)-ln(x+3)=4 | | -0.8=0.13x+-0.21 | | -0.8=0.13x-0.21 | | 2=sinx*5 | | 3x=16+21x | | 1+3x-x=-1 | | 3x=580-120 | | 3(x-4)+1=x+9 | | sinx=2/5 |

Equations solver categories