4x^2-10x-18=0

Simple and best practice solution for 4x^2-10x-18=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^2-10x-18=0 equation: 


Simplifying
4x2 + -10x + -18 = 0

Reorder the terms:
-18 + -10x + 4x2 = 0

Solving
-18 + -10x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -5x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-9 + -5x + 2x2)' equal to zero and attempt to solve:

Simplifying
-9 + -5x + 2x2 = 0

Solving
-9 + -5x + 2x2 = 0

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

Divide each side by '2'.
-4.5 + -2.5x + x2 = 0

Move the constant term to the right:

Add '4.5' to each side of the equation.
-4.5 + -2.5x + 4.5 + x2 = 0 + 4.5

Reorder the terms:
-4.5 + 4.5 + -2.5x + x2 = 0 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + -2.5x + x2 = 0 + 4.5
-2.5x + x2 = 0 + 4.5

Combine like terms: 0 + 4.5 = 4.5
-2.5x + x2 = 4.5

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = 4.5 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = 4.5 + 1.5625

Combine like terms: 4.5 + 1.5625 = 6.0625
1.5625 + -2.5x + x2 = 6.0625

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = 6.0625

Calculate the square root of the right side: 2.46221445

Break this problem into two subproblems by setting 
(x + -1.25) equal to 2.46221445 and -2.46221445.


Subproblem 1
x + -1.25 = 2.46221445

Simplifying
x + -1.25 = 2.46221445

Reorder the terms:
-1.25 + x = 2.46221445

Solving
-1.25 + x = 2.46221445

Solving for variable 'x'.

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

Add '1.25' to each side of the equation.
-1.25 + 1.25 + x = 2.46221445 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + x = 2.46221445 + 1.25
x = 2.46221445 + 1.25

Combine like terms: 2.46221445 + 1.25 = 3.71221445
x = 3.71221445

Simplifying
x = 3.71221445


Subproblem 2
x + -1.25 = -2.46221445

Simplifying
x + -1.25 = -2.46221445

Reorder the terms:
-1.25 + x = -2.46221445

Solving
-1.25 + x = -2.46221445

Solving for variable 'x'.

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

Add '1.25' to each side of the equation.
-1.25 + 1.25 + x = -2.46221445 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + x = -2.46221445 + 1.25
x = -2.46221445 + 1.25

Combine like terms: -2.46221445 + 1.25 = -1.21221445
x = -1.21221445

Simplifying
x = -1.21221445


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.71221445, -1.21221445}
Solution
x = {3.71221445, -1.21221445}

See similar equations:

| 91=9y | | 15x^2-10=-19x | | 7x+5x(x+3)+4x-x-2= | | 7y-14=3y-26 | | 3a=7a-2 | | r-5=5 | | 3xyz-3xyz+zxy= | | (5x)2=32 | | 0.7r+1.9+0.1r=5.5-0.4 | | 15=9+(-3p) | | logy=10+2(logx) | | 10[(15-7)-(4*3)]= | | 5(3c-1)-6=11c+9 | | 15=9+(-3)p | | 12+6y+4=3y | | 22=x+4-7x | | -2v=52 | | 7-8c=4c-17 | | factor(x+2)(2x^4+4x^3-88x^2-36x-630)=0 | | 5x+10y=1000-100z | | -41=6c-13-4c | | f+397=482 | | u-4.43=5.8 | | p-3=p-4 | | 2.8m=14.4 | | 15k+88-8k= | | 2n+2n+2+2n+4=54 | | -5=22-5 | | -8=8n | | y+(-1)=2 | | -5-x=7+4x | | y+(-3)=2 |

Equations solver categories