x(2x+3)=4-7x

Simple and best practice solution for x(2x+3)=4-7x 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 x(2x+3)=4-7x equation: 


Simplifying
x(2x + 3) = 4 + -7x

Reorder the terms:
x(3 + 2x) = 4 + -7x
(3 * x + 2x * x) = 4 + -7x
(3x + 2x2) = 4 + -7x

Solving
3x + 2x2 = 4 + -7x

Solving for variable 'x'.

Reorder the terms:
-4 + 3x + 7x + 2x2 = 4 + -7x + -4 + 7x

Combine like terms: 3x + 7x = 10x
-4 + 10x + 2x2 = 4 + -7x + -4 + 7x

Reorder the terms:
-4 + 10x + 2x2 = 4 + -4 + -7x + 7x

Combine like terms: 4 + -4 = 0
-4 + 10x + 2x2 = 0 + -7x + 7x
-4 + 10x + 2x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-4 + 10x + 2x2 = 0

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

Ignore the factor 2.

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

Simplifying
-2 + 5x + x2 = 0

Solving
-2 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + 5x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + 5x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5x + x2 = 0 + 2
5x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
5x + x2 = 2

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 2 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 2 + 6.25

Combine like terms: 2 + 6.25 = 8.25
6.25 + 5x + x2 = 8.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 8.25

Calculate the square root of the right side: 2.872281323

Break this problem into two subproblems by setting 
(x + 2.5) equal to 2.872281323 and -2.872281323.


Subproblem 1
x + 2.5 = 2.872281323

Simplifying
x + 2.5 = 2.872281323

Reorder the terms:
2.5 + x = 2.872281323

Solving
2.5 + x = 2.872281323

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 2.872281323 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 2.872281323 + -2.5
x = 2.872281323 + -2.5

Combine like terms: 2.872281323 + -2.5 = 0.372281323
x = 0.372281323

Simplifying
x = 0.372281323


Subproblem 2
x + 2.5 = -2.872281323

Simplifying
x + 2.5 = -2.872281323

Reorder the terms:
2.5 + x = -2.872281323

Solving
2.5 + x = -2.872281323

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -2.872281323 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -2.872281323 + -2.5
x = -2.872281323 + -2.5

Combine like terms: -2.872281323 + -2.5 = -5.372281323
x = -5.372281323

Simplifying
x = -5.372281323


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.372281323, -5.372281323}
Solution
x = {0.372281323, -5.372281323}

See similar equations:

| -6+3x=-11 | | -16x-5=-111 | | 7+3n=22 | | -5v-20v+3v+5=5v+7 | | 4(5+x)= | | 4n-11=81 | | 72-3=11+32 | | x^3-2x^2-16x-16=0 | | 5y-1=y+9 | | 40=s(s-3) | | 2(a-10)=7a | | 6n^2(5n+6)= | | (x+2)(x+9)=2x | | x^3-9x^2+15x+30=0 | | 6x^3=5x^2+6x | | 2(8)-3(-3)=7 | | 5(x^2-4x-70)=0 | | 3a=6-b | | s^2+5a=0 | | 6(x+1.62)=5x | | y+0.2=0.6(y+3) | | y-6y=18-2 | | -2(x+3)=5(2x-4) | | 42+3b=-4-14 | | .03(4-.2x)=.17x-1.2 | | 8x-45=63+4x | | 2z-9=-5-2 | | 5x-21=x+43 | | 6(2x-4)=9x | | 6y^2-y-2=0 | | 6x+2=4x-2 | | 2x^2-4x+6=0 |

Equations solver categories