4.9x^2+19.5x-59.4=0

Simple and best practice solution for 4.9x^2+19.5x-59.4=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 4.9x^2+19.5x-59.4=0 equation:


Simplifying
4.9x2 + 19.5x + -59.4 = 0

Reorder the terms:
-59.4 + 19.5x + 4.9x2 = 0

Solving
-59.4 + 19.5x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
-12.12244898 + 3.979591837x + x2 = 0

Move the constant term to the right:

Add '12.12244898' to each side of the equation.
-12.12244898 + 3.979591837x + 12.12244898 + x2 = 0 + 12.12244898

Reorder the terms:
-12.12244898 + 12.12244898 + 3.979591837x + x2 = 0 + 12.12244898

Combine like terms: -12.12244898 + 12.12244898 = 0.00000000
0.00000000 + 3.979591837x + x2 = 0 + 12.12244898
3.979591837x + x2 = 0 + 12.12244898

Combine like terms: 0 + 12.12244898 = 12.12244898
3.979591837x + x2 = 12.12244898

The x term is 3.979591837x.  Take half its coefficient (1.989795919).
Square it (3.959287799) and add it to both sides.

Add '3.959287799' to each side of the equation.
3.979591837x + 3.959287799 + x2 = 12.12244898 + 3.959287799

Reorder the terms:
3.959287799 + 3.979591837x + x2 = 12.12244898 + 3.959287799

Combine like terms: 12.12244898 + 3.959287799 = 16.081736779
3.959287799 + 3.979591837x + x2 = 16.081736779

Factor a perfect square on the left side:
(x + 1.989795919)(x + 1.989795919) = 16.081736779

Calculate the square root of the right side: 4.010204082

Break this problem into two subproblems by setting 
(x + 1.989795919) equal to 4.010204082 and -4.010204082.


Subproblem 1
x + 1.989795919 = 4.010204082

Simplifying
x + 1.989795919 = 4.010204082

Reorder the terms:
1.989795919 + x = 4.010204082

Solving
1.989795919 + x = 4.010204082

Solving for variable 'x'.

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

Add '-1.989795919' to each side of the equation.
1.989795919 + -1.989795919 + x = 4.010204082 + -1.989795919

Combine like terms: 1.989795919 + -1.989795919 = 0.000000000
0.000000000 + x = 4.010204082 + -1.989795919
x = 4.010204082 + -1.989795919

Combine like terms: 4.010204082 + -1.989795919 = 2.020408163
x = 2.020408163

Simplifying
x = 2.020408163


Subproblem 2
x + 1.989795919 = -4.010204082

Simplifying
x + 1.989795919 = -4.010204082

Reorder the terms:
1.989795919 + x = -4.010204082

Solving
1.989795919 + x = -4.010204082

Solving for variable 'x'.

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

Add '-1.989795919' to each side of the equation.
1.989795919 + -1.989795919 + x = -4.010204082 + -1.989795919

Combine like terms: 1.989795919 + -1.989795919 = 0.000000000
0.000000000 + x = -4.010204082 + -1.989795919
x = -4.010204082 + -1.989795919

Combine like terms: -4.010204082 + -1.989795919 = -6.000000001
x = -6.000000001

Simplifying
x = -6.000000001


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.020408163, -6.000000001}

See similar equations:

| -3w^5x^6(2x^3+9w-4)=0 | | 4.9x^2+19.5-59.4=0 | | 6+16y-4=8y+13-3y | | -6(n-2)=8-5n | | X+6=3(3-c) | | 3r^2-14r+12=0 | | -x^2+18x+88= | | 2x+17=11x+82 | | x-0.20x=1.4-0.7 | | -45+39= | | 4-3x+7x-8=3x+5-x | | x^2-16=x^2+6x+8 | | .50(14x+2)=3(2-3x) | | 19+5b=6(1+3b) | | 6m+3m=36 | | 99x=100x+1000 | | 11=5-x | | -36+(-59)= | | 16x^2-y^2= | | 85-3x=42x+15 | | 12=8x-4 | | -x+10=19 | | x^2+6x+9=2x+6 | | -10x-15=-205 | | -4-9x^2=-733 | | 6x-10+3x-2+x+4=82 | | 49n^2=1 | | x^3+12=90 | | 3+49n^2=4 | | x-14x=58 | | 12x+48=51x+117 | | 4x^2-37x+63=0 |

Equations solver categories