-5x(4x+7)+8=3x

Simple and best practice solution for -5x(4x+7)+8=3x 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 -5x(4x+7)+8=3x equation: 


Simplifying
-5x(4x + 7) + 8 = 3x

Reorder the terms:
-5x(7 + 4x) + 8 = 3x
(7 * -5x + 4x * -5x) + 8 = 3x
(-35x + -20x2) + 8 = 3x

Reorder the terms:
8 + -35x + -20x2 = 3x

Solving
8 + -35x + -20x2 = 3x

Solving for variable 'x'.

Reorder the terms:
8 + -35x + -3x + -20x2 = 3x + -3x

Combine like terms: -35x + -3x = -38x
8 + -38x + -20x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -38x + -20x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -19x + -10x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -19x + -10x2)' equal to zero and attempt to solve:

Simplifying
4 + -19x + -10x2 = 0

Solving
4 + -19x + -10x2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
-0.4 + 1.9x + x2 = 0.0

Move the constant term to the right:

Add '0.4' to each side of the equation.
-0.4 + 1.9x + 0.4 + x2 = 0.0 + 0.4

Reorder the terms:
-0.4 + 0.4 + 1.9x + x2 = 0.0 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 1.9x + x2 = 0.0 + 0.4
1.9x + x2 = 0.0 + 0.4

Combine like terms: 0.0 + 0.4 = 0.4
1.9x + x2 = 0.4

The x term is 1.9x.  Take half its coefficient (0.95).
Square it (0.9025) and add it to both sides.

Add '0.9025' to each side of the equation.
1.9x + 0.9025 + x2 = 0.4 + 0.9025

Reorder the terms:
0.9025 + 1.9x + x2 = 0.4 + 0.9025

Combine like terms: 0.4 + 0.9025 = 1.3025
0.9025 + 1.9x + x2 = 1.3025

Factor a perfect square on the left side:
(x + 0.95)(x + 0.95) = 1.3025

Calculate the square root of the right side: 1.141271221

Break this problem into two subproblems by setting 
(x + 0.95) equal to 1.141271221 and -1.141271221.


Subproblem 1
x + 0.95 = 1.141271221

Simplifying
x + 0.95 = 1.141271221

Reorder the terms:
0.95 + x = 1.141271221

Solving
0.95 + x = 1.141271221

Solving for variable 'x'.

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

Add '-0.95' to each side of the equation.
0.95 + -0.95 + x = 1.141271221 + -0.95

Combine like terms: 0.95 + -0.95 = 0.00
0.00 + x = 1.141271221 + -0.95
x = 1.141271221 + -0.95

Combine like terms: 1.141271221 + -0.95 = 0.191271221
x = 0.191271221

Simplifying
x = 0.191271221


Subproblem 2
x + 0.95 = -1.141271221

Simplifying
x + 0.95 = -1.141271221

Reorder the terms:
0.95 + x = -1.141271221

Solving
0.95 + x = -1.141271221

Solving for variable 'x'.

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

Add '-0.95' to each side of the equation.
0.95 + -0.95 + x = -1.141271221 + -0.95

Combine like terms: 0.95 + -0.95 = 0.00
0.00 + x = -1.141271221 + -0.95
x = -1.141271221 + -0.95

Combine like terms: -1.141271221 + -0.95 = -2.091271221
x = -2.091271221

Simplifying
x = -2.091271221


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.191271221, -2.091271221}
Solution
x = {0.191271221, -2.091271221}

See similar equations:

| -3k-4=5 | | -4+14=9 | | 2y=3y^2 | | Y-4=2/3(x-12) | | -4.7+8.6x=29.64 | | -5w-7=-12 | | 9x=6y+3 | | 4t+9=-15 | | 10+1s=98 | | 5m+32=7m+14 | | 0.6(-2.5+0.5y)-0.3y=-1.5 | | 5y^2=3y+4 | | t/4-1=2 | | -7m+12=-23 | | 8x+2-4x=2+3x-4 | | 0.04x-0.02y=-0.1 | | -2z-7=13 | | 165=15m | | 8+1w=49 | | 2y^2+11y-5=0 | | 0.6x-0.3y=-1.5 | | 24=18+2h | | 3+3w=15 | | f(x)=-4.9x^2+117x+42 | | -4d-7=-21 | | 3(-0.2y)+5y=33 | | D=Pgk | | 2x-6y+14z=0 | | 15+1m=28 | | 2x-4yi=4+8i | | G(31)=3x-5 | | D=Pkg |

Equations solver categories