-0.02x^2+0.8x+61=0

Simple and best practice solution for -0.02x^2+0.8x+61=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 -0.02x^2+0.8x+61=0 equation:


Simplifying
-0.02x2 + 0.8x + 61 = 0

Reorder the terms:
61 + 0.8x + -0.02x2 = 0

Solving
61 + 0.8x + -0.02x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.02 the coefficient of the squared term: 

Divide each side by '-0.02'.
-3050 + -40x + x2 = 0

Move the constant term to the right:

Add '3050' to each side of the equation.
-3050 + -40x + 3050 + x2 = 0 + 3050

Reorder the terms:
-3050 + 3050 + -40x + x2 = 0 + 3050

Combine like terms: -3050 + 3050 = 0
0 + -40x + x2 = 0 + 3050
-40x + x2 = 0 + 3050

Combine like terms: 0 + 3050 = 3050
-40x + x2 = 3050

The x term is -40x.  Take half its coefficient (-20).
Square it (400) and add it to both sides.

Add '400' to each side of the equation.
-40x + 400 + x2 = 3050 + 400

Reorder the terms:
400 + -40x + x2 = 3050 + 400

Combine like terms: 3050 + 400 = 3450
400 + -40x + x2 = 3450

Factor a perfect square on the left side:
(x + -20)(x + -20) = 3450

Calculate the square root of the right side: 58.736700622

Break this problem into two subproblems by setting 
(x + -20) equal to 58.736700622 and -58.736700622.

Subproblem 1

x + -20 = 58.736700622 Simplifying x + -20 = 58.736700622 Reorder the terms: -20 + x = 58.736700622 Solving -20 + x = 58.736700622 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 58.736700622 + 20 Combine like terms: -20 + 20 = 0 0 + x = 58.736700622 + 20 x = 58.736700622 + 20 Combine like terms: 58.736700622 + 20 = 78.736700622 x = 78.736700622 Simplifying x = 78.736700622

Subproblem 2

x + -20 = -58.736700622 Simplifying x + -20 = -58.736700622 Reorder the terms: -20 + x = -58.736700622 Solving -20 + x = -58.736700622 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = -58.736700622 + 20 Combine like terms: -20 + 20 = 0 0 + x = -58.736700622 + 20 x = -58.736700622 + 20 Combine like terms: -58.736700622 + 20 = -38.736700622 x = -38.736700622 Simplifying x = -38.736700622

Solution

The solution to the problem is based on the solutions from the subproblems. x = {78.736700622, -38.736700622}

See similar equations:

| (3h+18)+(15h)= | | -23+13=-14-5m | | -9(v-2)=4v+31 | | 1=y+2 | | 136-y=217 | | 7y-26=3(y-2) | | 0.12x+15=0.3x-21 | | (-15)-(-18)x(-7)= | | 112=5x+17 | | 3x+18=-4x+33 | | 6(y-3)-8y=-36 | | (5+18i)x-(14-5i)y=12+5i | | 9(s+2)=4 | | Z+4.3=4.5 | | 11/49=x/60 | | -8x+4=44 | | s+15=11 | | (5x)+(9x)+(9+x)= | | -48xy+24x+40xy= | | 10v=45+v | | y-49=-20 | | 3x-2=2(4-x) | | -10(8x+6y+3)= | | -3x-4(3x-5)=-5x+32 | | 0=-16t(0-3)(0-3)+236 | | -x-3=3x-7 | | 100+84+2x+2x=360 | | .10x=500000 | | X/-13=-9 | | .10=500000 | | .15x=500000 | | 15x=-10 |

Equations solver categories