7-7x=(4x+9)(x+-1)

Simple and best practice solution for 7-7x=(4x+9)(x+-1) 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 7-7x=(4x+9)(x+-1) equation: 


Simplifying
7 + -7x = (4x + 9)(x + -1)

Reorder the terms:
7 + -7x = (9 + 4x)(x + -1)

Reorder the terms:
7 + -7x = (9 + 4x)(-1 + x)

Multiply (9 + 4x) * (-1 + x)
7 + -7x = (9(-1 + x) + 4x * (-1 + x))
7 + -7x = ((-1 * 9 + x * 9) + 4x * (-1 + x))
7 + -7x = ((-9 + 9x) + 4x * (-1 + x))
7 + -7x = (-9 + 9x + (-1 * 4x + x * 4x))
7 + -7x = (-9 + 9x + (-4x + 4x2))

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

Solving
7 + -7x = -9 + 5x + 4x2

Solving for variable 'x'.

Reorder the terms:
7 + 9 + -7x + -5x + -4x2 = -9 + 5x + 4x2 + 9 + -5x + -4x2

Combine like terms: 7 + 9 = 16
16 + -7x + -5x + -4x2 = -9 + 5x + 4x2 + 9 + -5x + -4x2

Combine like terms: -7x + -5x = -12x
16 + -12x + -4x2 = -9 + 5x + 4x2 + 9 + -5x + -4x2

Reorder the terms:
16 + -12x + -4x2 = -9 + 9 + 5x + -5x + 4x2 + -4x2

Combine like terms: -9 + 9 = 0
16 + -12x + -4x2 = 0 + 5x + -5x + 4x2 + -4x2
16 + -12x + -4x2 = 5x + -5x + 4x2 + -4x2

Combine like terms: 5x + -5x = 0
16 + -12x + -4x2 = 0 + 4x2 + -4x2
16 + -12x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
16 + -12x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -3x + -1x2) = 0

Factor a trinomial.
4((1 + -1x)(4 + x)) = 0

Ignore the factor 4.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Solution
x = {1, -4}

See similar equations:

| x=40+2y | | Log(2x-6)144=2 | | 4+2x-x=12 | | x^2-26c-87=0 | | K=100-4n | | 20.8571y=x | | 3x+8+x=-4 | | 20=6x+4x+10 | | -9-3x+5x=9 | | 3k^2-3=0 | | 3x^3-24x^2+48x+5=0 | | 5n^2-11n-42=0 | | y+5=2(x-3) | | f=-129+2500x-1+2x | | 2x^3-14x^2+12x=0 | | x^2+147=196 | | f(x)=2x^2-129x+2500 | | 0.743mL= | | 70x+40y=30(50) | | 8(y+5)=72 | | 1x+1y-2z=2 | | Y-11-Y+8=6Y | | 44=4(x-1) | | 7x^2+7x-20=0 | | (5x-3)*(5x-3)-9=0 | | 6x=22x | | 70x+40y=1500 | | 125=5(12-z) | | 4x^2+-9x+4=-2x+1 | | P(x)+R(x)=(4x^2-1)+(6x^2+x+1) | | 2.5x=.5 | | x^2-8x-6=-6x+2 |

Equations solver categories