0=-.08x^2+1.6x+35

Simple and best practice solution for 0=-.08x^2+1.6x+35 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 0=-.08x^2+1.6x+35 equation:


Simplifying
0 = -0.08x2 + 1.6x + 35

Reorder the terms:
0 = 35 + 1.6x + -0.08x2

Solving
0 = 35 + 1.6x + -0.08x2

Solving for variable 'x'.

Combine like terms: 0 + -35 = -35
-35 + -1.6x + 0.08x2 = 35 + 1.6x + -0.08x2 + -35 + -1.6x + 0.08x2

Reorder the terms:
-35 + -1.6x + 0.08x2 = 35 + -35 + 1.6x + -1.6x + -0.08x2 + 0.08x2

Combine like terms: 35 + -35 = 0
-35 + -1.6x + 0.08x2 = 0 + 1.6x + -1.6x + -0.08x2 + 0.08x2
-35 + -1.6x + 0.08x2 = 1.6x + -1.6x + -0.08x2 + 0.08x2

Combine like terms: 1.6x + -1.6x = 0.0
-35 + -1.6x + 0.08x2 = 0.0 + -0.08x2 + 0.08x2
-35 + -1.6x + 0.08x2 = -0.08x2 + 0.08x2

Combine like terms: -0.08x2 + 0.08x2 = 0.00
-35 + -1.6x + 0.08x2 = 0.00

Begin completing the square.  Divide all terms by
0.08 the coefficient of the squared term: 

Divide each side by '0.08'.
-437.5 + -20x + x2 = 0

Move the constant term to the right:

Add '437.5' to each side of the equation.
-437.5 + -20x + 437.5 + x2 = 0 + 437.5

Reorder the terms:
-437.5 + 437.5 + -20x + x2 = 0 + 437.5

Combine like terms: -437.5 + 437.5 = 0.0
0.0 + -20x + x2 = 0 + 437.5
-20x + x2 = 0 + 437.5

Combine like terms: 0 + 437.5 = 437.5
-20x + x2 = 437.5

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = 437.5 + 100

Reorder the terms:
100 + -20x + x2 = 437.5 + 100

Combine like terms: 437.5 + 100 = 537.5
100 + -20x + x2 = 537.5

Factor a perfect square on the left side:
(x + -10)(x + -10) = 537.5

Calculate the square root of the right side: 23.184046239

Break this problem into two subproblems by setting 
(x + -10) equal to 23.184046239 and -23.184046239.

Subproblem 1

x + -10 = 23.184046239 Simplifying x + -10 = 23.184046239 Reorder the terms: -10 + x = 23.184046239 Solving -10 + x = 23.184046239 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 23.184046239 + 10 Combine like terms: -10 + 10 = 0 0 + x = 23.184046239 + 10 x = 23.184046239 + 10 Combine like terms: 23.184046239 + 10 = 33.184046239 x = 33.184046239 Simplifying x = 33.184046239

Subproblem 2

x + -10 = -23.184046239 Simplifying x + -10 = -23.184046239 Reorder the terms: -10 + x = -23.184046239 Solving -10 + x = -23.184046239 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = -23.184046239 + 10 Combine like terms: -10 + 10 = 0 0 + x = -23.184046239 + 10 x = -23.184046239 + 10 Combine like terms: -23.184046239 + 10 = -13.184046239 x = -13.184046239 Simplifying x = -13.184046239

Solution

The solution to the problem is based on the solutions from the subproblems. x = {33.184046239, -13.184046239}

See similar equations:

| 0=-.08x^2+1.4x+35 | | 8+10p-7=8p+37-2p | | 0=-.08x^2+.58x+35 | | 5(2c-1)=7(45) | | 4x+10=5x-5 | | 9(7y-5)-(8y+4)= | | 9(2x-5)=3(6x+6) | | 6+14m-1=8m+49-5m | | -1=3x | | 9x-7=2x | | 7/5=2c-1/45 | | 4(x-3)+7=5-(x+8) | | 12x=11x+5 | | 4x+.5y=9 | | 3.9x+58.3=13.6-11.0x | | y(3y-2)=0 | | 5(b-x)=3b+ax | | 13(x-8)=5x-104+8x | | 13(t-4)+8t=7(3t+2)-9 | | x^2+x-1-2x^2-x-1=0 | | 30x+4=0 | | -7x-22=-134 | | 5(t-10)=2t-7+3t | | 2x+18=2(x+9) | | -(7y+3)-(6y-7)=1 | | 5(x-2)-25=0 | | x^2+x-1-2x^2+x+1=0 | | (2x+2)(x+2)= | | -20+5m+10=4m-12 | | -.5d+2=-4(d-.5) | | 12x+4=0 | | 3y-11y-2y+4x+10= |

Equations solver categories