28z^2+33z-28=0

Simple and best practice solution for 28z^2+33z-28=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 28z^2+33z-28=0 equation:


Simplifying
28z2 + 33z + -28 = 0

Reorder the terms:
-28 + 33z + 28z2 = 0

Solving
-28 + 33z + 28z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-7 + -4z)(4 + -7z) = 0

Subproblem 1

Set the factor '(-7 + -4z)' equal to zero and attempt to solve: Simplifying -7 + -4z = 0 Solving -7 + -4z = 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 + -4z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4z = 0 + 7 -4z = 0 + 7 Combine like terms: 0 + 7 = 7 -4z = 7 Divide each side by '-4'. z = -1.75 Simplifying z = -1.75

Subproblem 2

Set the factor '(4 + -7z)' equal to zero and attempt to solve: Simplifying 4 + -7z = 0 Solving 4 + -7z = 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 + -7z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7z = 0 + -4 -7z = 0 + -4 Combine like terms: 0 + -4 = -4 -7z = -4 Divide each side by '-7'. z = 0.5714285714 Simplifying z = 0.5714285714

Solution

z = {-1.75, 0.5714285714}

See similar equations:

| z+4-2z=2(z-1) | | 1Y+6x=-4 | | 4x-3y=13.1 | | 8(x-4)-4(x-3)+5= | | 1x+6y=-4 | | 7x^2y^2+16xy+1=0 | | X-9=-4x-9 | | .5x=.5x+3.5 | | x-2y=.9 | | -1=d/4-5 | | 3x^2+18x-11=0 | | 6X-(3Y-5)=3 | | 9/16p=36 | | 7p+35=t | | 4-3h=43 | | 7(x+4)+5=7x+3 | | 2x-34=90 | | 7x+6=9x-10 | | 2a^2+7ab+3b^2=0 | | 6x-5(-2x+20)=13 | | 0.024(24)-0.04x=0.08(18-x) | | 96=5p-4 | | 5a^2+7=52 | | 2x-6(-2/3x-13)=-10 | | 4*88=2*100 | | 4t^2-32t=0 | | X^2+y^2-8x-12y-10=0 | | x^2-40x-225=0 | | G=-19 | | 5+(x-3)=3-(x-5) | | X^2-16+63= | | 9(x+4)+2=-7 |

Equations solver categories