3f^2-90f=-93

Simple and best practice solution for 3f^2-90f=-93 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 3f^2-90f=-93 equation:


Simplifying
3f2 + -90f = -93

Reorder the terms:
-90f + 3f2 = -93

Solving
-90f + 3f2 = -93

Solving for variable 'f'.

Reorder the terms:
93 + -90f + 3f2 = -93 + 93

Combine like terms: -93 + 93 = 0
93 + -90f + 3f2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(31 + -30f + f2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(31 + -30f + f2)' equal to zero and attempt to solve: Simplifying 31 + -30f + f2 = 0 Solving 31 + -30f + f2 = 0 Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + -30f + -31 + f2 = 0 + -31 Reorder the terms: 31 + -31 + -30f + f2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -30f + f2 = 0 + -31 -30f + f2 = 0 + -31 Combine like terms: 0 + -31 = -31 -30f + f2 = -31 The f term is -30f. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30f + 225 + f2 = -31 + 225 Reorder the terms: 225 + -30f + f2 = -31 + 225 Combine like terms: -31 + 225 = 194 225 + -30f + f2 = 194 Factor a perfect square on the left side: (f + -15)(f + -15) = 194 Calculate the square root of the right side: 13.928388277 Break this problem into two subproblems by setting (f + -15) equal to 13.928388277 and -13.928388277.

Subproblem 1

f + -15 = 13.928388277 Simplifying f + -15 = 13.928388277 Reorder the terms: -15 + f = 13.928388277 Solving -15 + f = 13.928388277 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + f = 13.928388277 + 15 Combine like terms: -15 + 15 = 0 0 + f = 13.928388277 + 15 f = 13.928388277 + 15 Combine like terms: 13.928388277 + 15 = 28.928388277 f = 28.928388277 Simplifying f = 28.928388277

Subproblem 2

f + -15 = -13.928388277 Simplifying f + -15 = -13.928388277 Reorder the terms: -15 + f = -13.928388277 Solving -15 + f = -13.928388277 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + f = -13.928388277 + 15 Combine like terms: -15 + 15 = 0 0 + f = -13.928388277 + 15 f = -13.928388277 + 15 Combine like terms: -13.928388277 + 15 = 1.071611723 f = 1.071611723 Simplifying f = 1.071611723

Solution

The solution to the problem is based on the solutions from the subproblems. f = {28.928388277, 1.071611723}

Solution

f = {28.928388277, 1.071611723}

See similar equations:

| x+(10*3)=8x | | 0.8x=0.1+0.6x | | 3f^22-90f=-93 | | 3/4(x-500)=1/2x | | x+10*3=8x | | 9x-(3x+6)=48 | | 42=7x-3 | | Vf=Vi+af | | 3[5-3(6-t)]-2=5[3(5t-4)+8]-56 | | 3x+20=3x+25 | | -4(v-2x-5)= | | 15(-5)-24-4x=-79 | | 1.8(5a+3)+5.6=2.9 | | 8+j=18 | | T+-75=-37 | | 6(3x-2)=31 | | T+30=5t-15 | | 2x(7x-3)= | | -3X-4(2-3X)=3(X-5)-29 | | K+30=-34 | | -19s=855 | | 5x^4y^6/30x^2y^-4 | | 5/8=m/42 | | 0.3(x+4)=20 | | -8x^5+20x^4-38x^3+3x^2+44x+15=0 | | U-3=79 | | -5x+3=4(2x+6) | | 8x+17=3(2x-9) | | Z+12.6=17.11 | | 3/5-21 | | 5(3x+16)= | | (2x)/(x^2-9)-(1)/(x-3) |

Equations solver categories