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

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


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

Reorder the terms:
x(-7 + 3x) = (3x + 5)(x + -3)
(-7 * x + 3x * x) = (3x + 5)(x + -3)
(-7x + 3x2) = (3x + 5)(x + -3)

Reorder the terms:
-7x + 3x2 = (5 + 3x)(x + -3)

Reorder the terms:
-7x + 3x2 = (5 + 3x)(-3 + x)

Multiply (5 + 3x) * (-3 + x)
-7x + 3x2 = (5(-3 + x) + 3x * (-3 + x))
-7x + 3x2 = ((-3 * 5 + x * 5) + 3x * (-3 + x))
-7x + 3x2 = ((-15 + 5x) + 3x * (-3 + x))
-7x + 3x2 = (-15 + 5x + (-3 * 3x + x * 3x))
-7x + 3x2 = (-15 + 5x + (-9x + 3x2))

Combine like terms: 5x + -9x = -4x
-7x + 3x2 = (-15 + -4x + 3x2)

Add '-3x2' to each side of the equation.
-7x + 3x2 + -3x2 = -15 + -4x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-7x + 0 = -15 + -4x + 3x2 + -3x2
-7x = -15 + -4x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-7x = -15 + -4x + 0
-7x = -15 + -4x

Solving
-7x = -15 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-7x + 4x = -15 + -4x + 4x

Combine like terms: -7x + 4x = -3x
-3x = -15 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3x = -15 + 0
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

See similar equations:

| x^4-14x^2+44=0 | | 10/11x-5=6 | | 6n+6=6-6(-7n-6) | | [10/11x-5]=6 | | 1=.3x-.5x-7 | | 7+4x=6x+7 | | x^2-14x+34=10 | | .6n+.4(n-.3)=-2.67 | | (6x-17)-(-6x+9)= | | 4(p-7)+6(p-23)=14 | | b-3b+2*2b-4b= | | 27=x/2+15 | | -x+40=28 | | (2w+6)w=216 | | 6(4s+12)=(3s-14) | | 1/3y-6x=4 | | 5+2x+8=x+7 | | 8+(3a-24)=(4a+20) | | 64+24x=32x | | 5t+2s=20 | | p^2+4-9=0 | | 2u^6x^2*5u*2x^6= | | 2-2(y-2)=4y-9 | | 12x+9x^2=24x | | 5y-10+y+38=8y+40-6y | | 2x-5x+15=-6x+3 | | 5y-7+y+53=6y+50-4y | | 2x-5x+15=6x+3 | | 4x*5=7 | | 72+24x=36x | | 90-(16x-4)=x | | 9+2z-5=7z+4-4z |

Equations solver categories