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

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


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

Reorder the terms:
(-2 + 5z)(7 + -1z) = 0

Multiply (-2 + 5z) * (7 + -1z)
(-2(7 + -1z) + 5z * (7 + -1z)) = 0
((7 * -2 + -1z * -2) + 5z * (7 + -1z)) = 0
((-14 + 2z) + 5z * (7 + -1z)) = 0
(-14 + 2z + (7 * 5z + -1z * 5z)) = 0
(-14 + 2z + (35z + -5z2)) = 0

Combine like terms: 2z + 35z = 37z
(-14 + 37z + -5z2) = 0

Solving
-14 + 37z + -5z2 = 0

Solving for variable 'z'.

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


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

Simplifying
-7 + z = 0

Solving
-7 + z = 0

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

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

Combine like terms: -7 + 7 = 0
0 + z = 0 + 7
z = 0 + 7

Combine like terms: 0 + 7 = 7
z = 7

Simplifying
z = 7

Subproblem 2
Set the factor '(2 + -5z)' equal to zero and attempt to solve:

Simplifying
2 + -5z = 0

Solving
2 + -5z = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5z = 0 + -2
-5z = 0 + -2

Combine like terms: 0 + -2 = -2
-5z = -2

Divide each side by '-5'.
z = 0.4

Simplifying
z = 0.4
Solution
z = {7, 0.4}

See similar equations:

| 15x^2+31=-10 | | 28+7(x)=-28 | | 5x^2+5y^2-10x+5y-20=0 | | 9x+5x-6x=54+2 | | 40=7x+x^2 | | d+4.001=5.999 | | 3x^3-6x^2+9X-18=0 | | 2x-105/12 | | 25a-7=-12 | | (V+10)(v-10)= | | 0=2x^3-5x | | -15by-17x=9+10x | | x(50000/25000-x/25000) | | 7(2.875+0.875y)-4y=18 | | 15n^2+20n^3= | | 0.02x^2+0.05x-4=0 | | 8(x-9)=-2x(x+41) | | z^2-25=50 | | -2y-3=6-(y+11) | | .028x+3x=.34x | | 5(v-5)=7v-35 | | 7x/-7=4 | | -17=3(x+6)-8x | | 5v+19=2(v+8) | | 2/5x=-4/3 | | -9(v+1)=9v-45 | | x-576/576 | | h=.5wd | | x^3-9x*2-58x=228 | | 23x+13y=-3 | | d/hw=1/2 | | -11m+2m=14-68 |

Equations solver categories