4x^2+9x-20=0

Simple and best practice solution for 4x^2+9x-20=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 4x^2+9x-20=0 equation: 


Simplifying
4x2 + 9x + -20 = 0

Reorder the terms:
-20 + 9x + 4x2 = 0

Solving
-20 + 9x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
-5 + 2.25x + x2 = 0

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 2.25x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 2.25x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2.25x + x2 = 0 + 5
2.25x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
2.25x + x2 = 5

The x term is 2.25x.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25x + 1.265625 + x2 = 5 + 1.265625

Reorder the terms:
1.265625 + 2.25x + x2 = 5 + 1.265625

Combine like terms: 5 + 1.265625 = 6.265625
1.265625 + 2.25x + x2 = 6.265625

Factor a perfect square on the left side:
(x + 1.125)(x + 1.125) = 6.265625

Calculate the square root of the right side: 2.503123049

Break this problem into two subproblems by setting 
(x + 1.125) equal to 2.503123049 and -2.503123049.


Subproblem 1
x + 1.125 = 2.503123049

Simplifying
x + 1.125 = 2.503123049

Reorder the terms:
1.125 + x = 2.503123049

Solving
1.125 + x = 2.503123049

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.125' to each side of the equation.
1.125 + -1.125 + x = 2.503123049 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + x = 2.503123049 + -1.125
x = 2.503123049 + -1.125

Combine like terms: 2.503123049 + -1.125 = 1.378123049
x = 1.378123049

Simplifying
x = 1.378123049


Subproblem 2
x + 1.125 = -2.503123049

Simplifying
x + 1.125 = -2.503123049

Reorder the terms:
1.125 + x = -2.503123049

Solving
1.125 + x = -2.503123049

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.125' to each side of the equation.
1.125 + -1.125 + x = -2.503123049 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + x = -2.503123049 + -1.125
x = -2.503123049 + -1.125

Combine like terms: -2.503123049 + -1.125 = -3.628123049
x = -3.628123049

Simplifying
x = -3.628123049


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.378123049, -3.628123049}

See similar equations:

| 2x+5+3*3=6*4 | | (11x-3)-(4+2x)=11 | | .4x-10+1.6x=-14 | | y-4y=33y | | -2(4x-3)=-10 | | 6+3x=-4x+20 | | 3x+4y+5=0 | | 6x+3x=-4x+20 | | -16(t^2-121)=0 | | -3(k-4)=-6k | | (2x^5y^2)(4x^3y)= | | 6(x-8)+16=4 | | x^4-50z^2+49=0 | | -20=4(x+3) | | 12=4(b-2)b | | 3(2x+1)=(2-3x)5 | | .75b+14=38 | | 85=-5(-2+3x) | | 3=9y | | -7n+6=-3[3n+10] | | 5x+8=3x-2 | | p^2+2p+7= | | w(3w-2)=65 | | 4[5-2(6-7)]= | | -3x+5=-8x-20 | | 0.45x+0.3-0.5x=5.1 | | 12-.5a=-31 | | 3y^3-y^2+12y= | | (2x^2-7x+3)-(3x^2-2x-1)= | | x(3x-2)=65 | | 1.25x=20 | | b^2+6b-7= |

Equations solver categories