(3-z)(5z+4)=0

Simple and best practice solution for (3-z)(5z+4)=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 (3-z)(5z+4)=0 equation:


Simplifying
(3 + -1z)(5z + 4) = 0

Reorder the terms:
(3 + -1z)(4 + 5z) = 0

Multiply (3 + -1z) * (4 + 5z)
(3(4 + 5z) + -1z * (4 + 5z)) = 0
((4 * 3 + 5z * 3) + -1z * (4 + 5z)) = 0
((12 + 15z) + -1z * (4 + 5z)) = 0
(12 + 15z + (4 * -1z + 5z * -1z)) = 0
(12 + 15z + (-4z + -5z2)) = 0

Combine like terms: 15z + -4z = 11z
(12 + 11z + -5z2) = 0

Solving
12 + 11z + -5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(3 + -1z)(4 + 5z) = 0

Subproblem 1

Set the factor '(3 + -1z)' equal to zero and attempt to solve: Simplifying 3 + -1z = 0 Solving 3 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = 0 + -3 -1z = 0 + -3 Combine like terms: 0 + -3 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3

Subproblem 2

Set the factor '(4 + 5z)' equal to zero and attempt to solve: Simplifying 4 + 5z = 0 Solving 4 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5z = 0 + -4 5z = 0 + -4 Combine like terms: 0 + -4 = -4 5z = -4 Divide each side by '5'. z = -0.8 Simplifying z = -0.8

Solution

z = {3, -0.8}

See similar equations:

| 5x-55=100 | | 5x+9=52 | | 20x+3y= | | 8(x-8)=9(x-2) | | 4x^2+9x=3 | | 3(4x-5)-(2x+3)=2(x-4) | | -2(-2)-3(3)+3(-4)= | | -48--22= | | -4(4)-3(-8)= | | -0.9=4b-4.1 | | 7x^2-4x+3=0 | | -7(m+5)= | | 12-8x=35-15x | | 6x+7=-133-8x | | x(-2x-13)=-2 | | 4n-7n= | | -6t+t-2t= | | h=-16h^2+96h | | -5t+t-7t= | | (X+13)+(2X+23)=90 | | -5x-12x=119 | | (4+z)(4z-1)=0 | | -7x-11x=72 | | 77189/= | | 3v(v+4)(v+5)=0 | | 0.80x+.05(4-x)=.10(-73) | | 7x-11x=72 | | 4(6+4)+2= | | 2x^2-23+63=0 | | (9-z)(3z+2)=0 | | 66x^2=0 | | 2(v+9)(-v+3)=0 |

Equations solver categories