-16x^2-12x+140=0

Simple and best practice solution for -16x^2-12x+140=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 -16x^2-12x+140=0 equation:


Simplifying
-16x2 + -12x + 140 = 0

Reorder the terms:
140 + -12x + -16x2 = 0

Solving
140 + -12x + -16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(35 + -3x + -4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(35 + -3x + -4x2)' equal to zero and attempt to solve:

Simplifying
35 + -3x + -4x2 = 0

Solving
35 + -3x + -4x2 = 0

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

Divide each side by '-4'.
-8.75 + 0.75x + x2 = 0

Move the constant term to the right:

Add '8.75' to each side of the equation.
-8.75 + 0.75x + 8.75 + x2 = 0 + 8.75

Reorder the terms:
-8.75 + 8.75 + 0.75x + x2 = 0 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + 0.75x + x2 = 0 + 8.75
0.75x + x2 = 0 + 8.75

Combine like terms: 0 + 8.75 = 8.75
0.75x + x2 = 8.75

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = 8.75 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = 8.75 + 0.140625

Combine like terms: 8.75 + 0.140625 = 8.890625
0.140625 + 0.75x + x2 = 8.890625

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = 8.890625

Calculate the square root of the right side: 2.98171511

Break this problem into two subproblems by setting 
(x + 0.375) equal to 2.98171511 and -2.98171511.


Subproblem 1
x + 0.375 = 2.98171511

Simplifying
x + 0.375 = 2.98171511

Reorder the terms:
0.375 + x = 2.98171511

Solving
0.375 + x = 2.98171511

Solving for variable 'x'.

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

Add '-0.375' to each side of the equation.
0.375 + -0.375 + x = 2.98171511 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + x = 2.98171511 + -0.375
x = 2.98171511 + -0.375

Combine like terms: 2.98171511 + -0.375 = 2.60671511
x = 2.60671511

Simplifying
x = 2.60671511


Subproblem 2
x + 0.375 = -2.98171511

Simplifying
x + 0.375 = -2.98171511

Reorder the terms:
0.375 + x = -2.98171511

Solving
0.375 + x = -2.98171511

Solving for variable 'x'.

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

Add '-0.375' to each side of the equation.
0.375 + -0.375 + x = -2.98171511 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + x = -2.98171511 + -0.375
x = -2.98171511 + -0.375

Combine like terms: -2.98171511 + -0.375 = -3.35671511
x = -3.35671511

Simplifying
x = -3.35671511


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.60671511, -3.35671511}
Solution
x = {2.60671511, -3.35671511}

See similar equations:

| 6x+30=42 | | -.25*-.25*-.25*-.25= | | 6(c-4)=-5c-2 | | 70+10X+100x+1000x=1000 | | 2.25+0.20(m-1)=7.65 | | -6x-9+3x=-7x-3 | | 8y+2m+(-4y)+5m= | | 178=(x-10)+x | | 3.5t=6 | | 8(4-u)=u | | X+(-3)=2 | | 72-27x=42-12x | | 178=(x+10)+y | | -16x^2-22x+150=0 | | x(1.4)=6 | | 4/6=10g | | (x+5)-2x=1+x | | 6x=4x+38 | | 4x+2(2x+9)=-6 | | 4x+3=9-2 | | 22x+73-7x=7x+133+3x | | 5x+7=16x+2 | | X+(-5)=0 | | f(x)=x^3+4x^2+3x-2 | | 6x+3(3x-13)=21 | | 6p+6=150 | | 4(x+1)+3=1+4x | | 178=(x+10)+x | | P=2x+3+x-2+x+11 | | -3y+5=4y-2 | | 15+r=71 | | 3a+6(1-7a)=-3(6+7a) |

Equations solver categories