4x^2+25x-16=0

Simple and best practice solution for 4x^2+25x-16=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+25x-16=0 equation: 


Simplifying
4x2 + 25x + -16 = 0

Reorder the terms:
-16 + 25x + 4x2 = 0

Solving
-16 + 25x + 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'.
-4 + 6.25x + x2 = 0

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 6.25x + 4 + x2 = 0 + 4

Reorder the terms:
-4 + 4 + 6.25x + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 6.25x + x2 = 0 + 4
6.25x + x2 = 0 + 4

Combine like terms: 0 + 4 = 4
6.25x + x2 = 4

The x term is 6.25x.  Take half its coefficient (3.125).
Square it (9.765625) and add it to both sides.

Add '9.765625' to each side of the equation.
6.25x + 9.765625 + x2 = 4 + 9.765625

Reorder the terms:
9.765625 + 6.25x + x2 = 4 + 9.765625

Combine like terms: 4 + 9.765625 = 13.765625
9.765625 + 6.25x + x2 = 13.765625

Factor a perfect square on the left side:
(x + 3.125)(x + 3.125) = 13.765625

Calculate the square root of the right side: 3.71020552

Break this problem into two subproblems by setting 
(x + 3.125) equal to 3.71020552 and -3.71020552.


Subproblem 1
x + 3.125 = 3.71020552

Simplifying
x + 3.125 = 3.71020552

Reorder the terms:
3.125 + x = 3.71020552

Solving
3.125 + x = 3.71020552

Solving for variable 'x'.

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

Add '-3.125' to each side of the equation.
3.125 + -3.125 + x = 3.71020552 + -3.125

Combine like terms: 3.125 + -3.125 = 0.000
0.000 + x = 3.71020552 + -3.125
x = 3.71020552 + -3.125

Combine like terms: 3.71020552 + -3.125 = 0.58520552
x = 0.58520552

Simplifying
x = 0.58520552


Subproblem 2
x + 3.125 = -3.71020552

Simplifying
x + 3.125 = -3.71020552

Reorder the terms:
3.125 + x = -3.71020552

Solving
3.125 + x = -3.71020552

Solving for variable 'x'.

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

Add '-3.125' to each side of the equation.
3.125 + -3.125 + x = -3.71020552 + -3.125

Combine like terms: 3.125 + -3.125 = 0.000
0.000 + x = -3.71020552 + -3.125
x = -3.71020552 + -3.125

Combine like terms: -3.71020552 + -3.125 = -6.83520552
x = -6.83520552

Simplifying
x = -6.83520552


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.58520552, -6.83520552}

See similar equations:

| -11(x+9)+728=22+13 | | 7y+13=10y-32 | | 9(6+u)-2u=10 | | 4-4(x+6)-6x=9-9 | | y=.2(3)+2.5 | | 8=.2x+2.5 | | -30+4= | | -10-16= | | 6.8x+20=3.8x+2 | | 10x-8-7x-6=5x-18 | | 5-4x+1x-3= | | 2x+25=8x+37 | | y=2(25)-10 | | 2x+6=3(x-1)+2 | | 2+1=5+(x+9) | | 47=2x-10 | | 2(2x-4)=6(x+2) | | 48=44-2(3-1w) | | 100=4V^2 | | x=4v^2 | | x^5-8x^3+8=0 | | y=-4(7)+30 | | 36x-19x-11=0 | | 7(2y-3)=18 | | 14z=98 | | 3y+8=98 | | 2x+5=98 | | 8a=6a-26 | | 1-13x+5x=-8x+1 | | 3+2(4x+1)=24 | | 7(2y-2)=-22 | | -6x+26= |

Equations solver categories