0=-4x^2-5x+8

Simple and best practice solution for 0=-4x^2-5x+8 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=-4x^2-5x+8 equation:


Simplifying
0 = -4x2 + -5x + 8

Reorder the terms:
0 = 8 + -5x + -4x2

Solving
0 = 8 + -5x + -4x2

Solving for variable 'x'.

Combine like terms: 0 + -8 = -8
-8 + 5x + 4x2 = 8 + -5x + -4x2 + -8 + 5x + 4x2

Reorder the terms:
-8 + 5x + 4x2 = 8 + -8 + -5x + 5x + -4x2 + 4x2

Combine like terms: 8 + -8 = 0
-8 + 5x + 4x2 = 0 + -5x + 5x + -4x2 + 4x2
-8 + 5x + 4x2 = -5x + 5x + -4x2 + 4x2

Combine like terms: -5x + 5x = 0
-8 + 5x + 4x2 = 0 + -4x2 + 4x2
-8 + 5x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-8 + 5x + 4x2 = 0

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

Divide each side by '4'.
-2 + 1.25x + x2 = 0

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 1.25x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + 1.25x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1.25x + x2 = 0 + 2
1.25x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
1.25x + x2 = 2

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = 2 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = 2 + 0.390625

Combine like terms: 2 + 0.390625 = 2.390625
0.390625 + 1.25x + x2 = 2.390625

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = 2.390625

Calculate the square root of the right side: 1.54616461

Break this problem into two subproblems by setting 
(x + 0.625) equal to 1.54616461 and -1.54616461.

Subproblem 1

x + 0.625 = 1.54616461 Simplifying x + 0.625 = 1.54616461 Reorder the terms: 0.625 + x = 1.54616461 Solving 0.625 + x = 1.54616461 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + x = 1.54616461 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + x = 1.54616461 + -0.625 x = 1.54616461 + -0.625 Combine like terms: 1.54616461 + -0.625 = 0.92116461 x = 0.92116461 Simplifying x = 0.92116461

Subproblem 2

x + 0.625 = -1.54616461 Simplifying x + 0.625 = -1.54616461 Reorder the terms: 0.625 + x = -1.54616461 Solving 0.625 + x = -1.54616461 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + x = -1.54616461 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + x = -1.54616461 + -0.625 x = -1.54616461 + -0.625 Combine like terms: -1.54616461 + -0.625 = -2.17116461 x = -2.17116461 Simplifying x = -2.17116461

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.92116461, -2.17116461}

See similar equations:

| 15+3x=27+5x | | 4x-2=12x-82 | | 4x+y+20x+9y= | | 3x+31=11x-57 | | 2(7-x)+4x=20 | | X-3*2=5 | | 3x+68=8x+33 | | 5p-6=2p | | 2x+213=10x-11 | | 12x+9=8x+33 | | 102-94=25y-29y | | 4(2x+7)-6=3x | | 5x^2-14x=0 | | 15+12+2x=3x+10 | | 5y^2+29y+20=0 | | -4(3p+3)-32=5(4p+4) | | 118-3x=42x+18 | | 7-7x=67-21x | | 6n+10=8n | | -110-9x=9x+16 | | 94-3x=24x+16 | | 5x+7=113-7x | | -4x-6x=6-8x | | 29x^2-21x=0 | | 5-10x=65-24x | | 3x+5y=-29 | | x^2+4.8x-3=0 | | -141-9=9x+21 | | 9-10x=27-17x | | 3x+10=80-4x | | -6x-28=47-3x | | 3x+12=-43-8x |

Equations solver categories