(3x-7)+(9x-5)(3x-7)=0

Simple and best practice solution for (3x-7)+(9x-5)(3x-7)=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 (3x-7)+(9x-5)(3x-7)=0 equation: 


Simplifying
(3x + -7) + (9x + -5)(3x + -7) = 0

Reorder the terms:
(-7 + 3x) + (9x + -5)(3x + -7) = 0

Remove parenthesis around (-7 + 3x)
-7 + 3x + (9x + -5)(3x + -7) = 0

Reorder the terms:
-7 + 3x + (-5 + 9x)(3x + -7) = 0

Reorder the terms:
-7 + 3x + (-5 + 9x)(-7 + 3x) = 0

Multiply (-5 + 9x) * (-7 + 3x)
-7 + 3x + (-5(-7 + 3x) + 9x * (-7 + 3x)) = 0
-7 + 3x + ((-7 * -5 + 3x * -5) + 9x * (-7 + 3x)) = 0
-7 + 3x + ((35 + -15x) + 9x * (-7 + 3x)) = 0
-7 + 3x + (35 + -15x + (-7 * 9x + 3x * 9x)) = 0
-7 + 3x + (35 + -15x + (-63x + 27x2)) = 0

Combine like terms: -15x + -63x = -78x
-7 + 3x + (35 + -78x + 27x2) = 0

Reorder the terms:
-7 + 35 + 3x + -78x + 27x2 = 0

Combine like terms: -7 + 35 = 28
28 + 3x + -78x + 27x2 = 0

Combine like terms: 3x + -78x = -75x
28 + -75x + 27x2 = 0

Solving
28 + -75x + 27x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -9x)(7 + -3x) = 0


Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {0.4444444444, 2.333333333}

See similar equations:

| 12=4/3u | | -68=4x-6(-3x-7) | | 0x+2y+6=0 | | 12+10=E | | 144=-2x-3(4x+8) | | -(3x+2)=-5x | | (4-7i)/2 | | 10=3x+3x+10 | | 5n+2r=44 | | 7+3x^2=250 | | 11x-6=3x+4x+20 | | 9[x+2(x-2)]=45 | | 25=7x-4(x-13) | | x-16+2x+x=180 | | 4y+26=-2(y+8) | | .80(3)+.20x=3.00 | | -(3x+2)=-6x | | 2n(2)+3n+3= | | 4x-3+5x=-12 | | 80(3)+.20x=3.00 | | -6x-3(-x-10)=12 | | 4.00/16 | | 17+v=29+2 | | -7x=-60 | | 25y+44a=312725 | | 46+6x=160 | | -7x+4(7x+13)=-95 | | -2(x-2)=-2x-2 | | 8u-36=4(u-8) | | 2x+40+3x+10=180 | | 3x-160=5x+32 | | -x^2=12x+36 |

Equations solver categories