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

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


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

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

Multiply (2 + -1z) * (7 + 5z)
(2(7 + 5z) + -1z * (7 + 5z)) = 0
((7 * 2 + 5z * 2) + -1z * (7 + 5z)) = 0
((14 + 10z) + -1z * (7 + 5z)) = 0
(14 + 10z + (7 * -1z + 5z * -1z)) = 0
(14 + 10z + (-7z + -5z2)) = 0

Combine like terms: 10z + -7z = 3z
(14 + 3z + -5z2) = 0

Solving
14 + 3z + -5z2 = 0

Solving for variable 'z'.

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

Subproblem 1

Set the factor '(2 + -1z)' equal to zero and attempt to solve: Simplifying 2 + -1z = 0 Solving 2 + -1z = 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 + -1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 0 + -2 -1z = 0 + -2 Combine like terms: 0 + -2 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2

Subproblem 2

Set the factor '(7 + 5z)' equal to zero and attempt to solve: Simplifying 7 + 5z = 0 Solving 7 + 5z = 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 + 5z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5z = 0 + -7 5z = 0 + -7 Combine like terms: 0 + -7 = -7 5z = -7 Divide each side by '5'. z = -1.4 Simplifying z = -1.4

Solution

z = {2, -1.4}

See similar equations:

| 8(6t+1)-13=-(t+4) | | (b+8)(b+2)=0 | | -8+2n=-3n-(1+2n) | | 5(4x+5)=8(x-6)+9 | | 5w-2w=9+7 | | 5k+3(1+-2(k+1))=2k | | .45(x-2)-.35x=4.40 | | 4-2m+10=10m+70 | | -12=6x-6 | | 2+7p=-6p^2 | | 22=2+-12y | | 8+5(4q+20)=11q | | 12y+32-2y=4y-32-3 | | 3(x-1)=4(2x+3) | | n-39+3(3m+3)=0 | | 3a-4b+6b-b= | | 12y+-32-2y=4y-32-3 | | 2b^2-17b-9=0 | | 6(x+4)-(3x-8)= | | 2(f+7)=30 | | 4-(m+6)=5(2m+4) | | 19-3b=21+b | | -1/6(z-3/8)=-3/8(z+1/8) | | .45(x-2)-.35x= | | 20w-4(8w-4)=16-12w | | 5x+3=25.5 | | 3b^2+13b+14=0 | | -3(4s-6)-18=-2(8s+8)-2 | | -49=6cb-13-4c | | 5x+=6x+5 | | 14-7n=-56 | | -4(6v+4)-16v=-7(6v+12) |

Equations solver categories