5x+-(4+-3x)(4+-3x)=22

Simple and best practice solution for 5x+-(4+-3x)(4+-3x)=22 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+-(4+-3x)(4+-3x)=22 equation: 


Simplifying
5x + -1(4 + -3x)(4 + -3x) = 22

Multiply (4 + -3x) * (4 + -3x)
5x + -1(4(4 + -3x) + -3x * (4 + -3x)) = 22
5x + -1((4 * 4 + -3x * 4) + -3x * (4 + -3x)) = 22
5x + -1((16 + -12x) + -3x * (4 + -3x)) = 22
5x + -1(16 + -12x + (4 * -3x + -3x * -3x)) = 22
5x + -1(16 + -12x + (-12x + 9x2)) = 22

Combine like terms: -12x + -12x = -24x
5x + -1(16 + -24x + 9x2) = 22
5x + (16 * -1 + -24x * -1 + 9x2 * -1) = 22
5x + (-16 + 24x + -9x2) = 22

Reorder the terms:
-16 + 5x + 24x + -9x2 = 22

Combine like terms: 5x + 24x = 29x
-16 + 29x + -9x2 = 22

Solving
-16 + 29x + -9x2 = 22

Solving for variable 'x'.

Reorder the terms:
-16 + -22 + 29x + -9x2 = 22 + -22

Combine like terms: -16 + -22 = -38
-38 + 29x + -9x2 = 22 + -22

Combine like terms: 22 + -22 = 0
-38 + 29x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
4.222222222 + -3.222222222x + x2 = 0

Move the constant term to the right:

Add '-4.222222222' to each side of the equation.
4.222222222 + -3.222222222x + -4.222222222 + x2 = 0 + -4.222222222

Reorder the terms:
4.222222222 + -4.222222222 + -3.222222222x + x2 = 0 + -4.222222222

Combine like terms: 4.222222222 + -4.222222222 = 0.000000000
0.000000000 + -3.222222222x + x2 = 0 + -4.222222222
-3.222222222x + x2 = 0 + -4.222222222

Combine like terms: 0 + -4.222222222 = -4.222222222
-3.222222222x + x2 = -4.222222222

The x term is -3.222222222x.  Take half its coefficient (-1.611111111).
Square it (2.595679012) and add it to both sides.

Add '2.595679012' to each side of the equation.
-3.222222222x + 2.595679012 + x2 = -4.222222222 + 2.595679012

Reorder the terms:
2.595679012 + -3.222222222x + x2 = -4.222222222 + 2.595679012

Combine like terms: -4.222222222 + 2.595679012 = -1.62654321
2.595679012 + -3.222222222x + x2 = -1.62654321

Factor a perfect square on the left side:
(x + -1.611111111)(x + -1.611111111) = -1.62654321

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 4y=-32x-31 | | 7^(5/2)x7^(1/2) | | 8x(-3)= | | 3(2h-6)-(-3a-1)=4a-2 | | -2(3a-5)=-4-16 | | 5x^2+9-18=0 | | 30x^2/36x | | 2(2x+7)=3x+1 | | c+8c^3-3c^7=-3c^7+8c^3+c | | 42x^2/7-(-24) | | 1x^2+4x+2=0 | | 9y-8y+5=6 | | 1.066z=67.55 | | ab=-40 | | 8(x-5)=8x+12 | | 2x+6+3=6x-4 | | 12-5=1*6 | | 28=5(y+2)-8y | | 13i-(-2i)= | | (w^2-1)(4w+36)=0 | | 0.6(3-x)= | | m-n=30 | | U^2-1=0 | | 5.88=6.16 | | 4x^2=24x-5 | | 3a+5.50(216-a)=865.50 | | x+2x+(5-x)=15 | | 2x^2+21x-34=0 | | 0.19+0.02(y+4000)=710 | | -2[3-2(x-1)+5(2-x)]=-3[x+2(x-1)] | | 5x-11=1+6x+5x | | 2x+24=3+7x-9 |

Equations solver categories