-8x(4x+7)=17

Simple and best practice solution for -8x(4x+7)=17 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 -8x(4x+7)=17 equation: 


Simplifying
-8x(4x + 7) = 17

Reorder the terms:
-8x(7 + 4x) = 17
(7 * -8x + 4x * -8x) = 17
(-56x + -32x2) = 17

Solving
-56x + -32x2 = 17

Solving for variable 'x'.

Reorder the terms:
-17 + -56x + -32x2 = 17 + -17

Combine like terms: 17 + -17 = 0
-17 + -56x + -32x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(17 + 56x + 32x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(17 + 56x + 32x2)' equal to zero and attempt to solve:

Simplifying
17 + 56x + 32x2 = 0

Solving
17 + 56x + 32x2 = 0

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

Divide each side by '32'.
0.53125 + 1.75x + x2 = 0

Move the constant term to the right:

Add '-0.53125' to each side of the equation.
0.53125 + 1.75x + -0.53125 + x2 = 0 + -0.53125

Reorder the terms:
0.53125 + -0.53125 + 1.75x + x2 = 0 + -0.53125

Combine like terms: 0.53125 + -0.53125 = 0.00000
0.00000 + 1.75x + x2 = 0 + -0.53125
1.75x + x2 = 0 + -0.53125

Combine like terms: 0 + -0.53125 = -0.53125
1.75x + x2 = -0.53125

The x term is 1.75x.  Take half its coefficient (0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
1.75x + 0.765625 + x2 = -0.53125 + 0.765625

Reorder the terms:
0.765625 + 1.75x + x2 = -0.53125 + 0.765625

Combine like terms: -0.53125 + 0.765625 = 0.234375
0.765625 + 1.75x + x2 = 0.234375

Factor a perfect square on the left side:
(x + 0.875)(x + 0.875) = 0.234375

Calculate the square root of the right side: 0.484122918

Break this problem into two subproblems by setting 
(x + 0.875) equal to 0.484122918 and -0.484122918.


Subproblem 1
x + 0.875 = 0.484122918

Simplifying
x + 0.875 = 0.484122918

Reorder the terms:
0.875 + x = 0.484122918

Solving
0.875 + x = 0.484122918

Solving for variable 'x'.

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

Add '-0.875' to each side of the equation.
0.875 + -0.875 + x = 0.484122918 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + x = 0.484122918 + -0.875
x = 0.484122918 + -0.875

Combine like terms: 0.484122918 + -0.875 = -0.390877082
x = -0.390877082

Simplifying
x = -0.390877082


Subproblem 2
x + 0.875 = -0.484122918

Simplifying
x + 0.875 = -0.484122918

Reorder the terms:
0.875 + x = -0.484122918

Solving
0.875 + x = -0.484122918

Solving for variable 'x'.

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

Add '-0.875' to each side of the equation.
0.875 + -0.875 + x = -0.484122918 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + x = -0.484122918 + -0.875
x = -0.484122918 + -0.875

Combine like terms: -0.484122918 + -0.875 = -1.359122918
x = -1.359122918

Simplifying
x = -1.359122918


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.390877082, -1.359122918}
Solution
x = {-0.390877082, -1.359122918}

See similar equations:

| -9=-15+x-3 | | 12x+8y+2+19x-6y-16= | | -.5*32x^2+39.2x=15.6 | | t(n)=4.5-8 | | 70=7k | | x^2+0.04x+0.25=0 | | -28+x=-3 | | 16=5(u+6)+2u | | y=.25x+6 | | -15+3=-4(x+7) | | 5(2+6x)=280 | | X^3+5x^2-396=0 | | 3x-8=-3x+10 | | 4(y-3)-2y=-20 | | 28(45)+2(8)=x | | 35a^3bc^2-45a^2b^2c=0 | | 5(8-7x)=425 | | 234=.35x+x | | .0093= | | 3x+4-5x-7=7 | | 3p^2-4p-15=0 | | 24X^2-10=20X^2+8 | | 6(10+7x)=228 | | 32=7(v+2)-4v | | 5x-7=3x+2x-5 | | 16+2(3x+4)=3(2x+4) | | 5x-7=3x+2x-7 | | 8+3y=3y+8 | | 10(5+.5y)-6y=54 | | -4-32= | | 5z-3z=2z-5+2z | | 3y+6y-10=8 |

Equations solver categories