(x+4)(x-3)=(2x+9)(x-3)

Simple and best practice solution for (x+4)(x-3)=(2x+9)(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+4)(x-3)=(2x+9)(x-3) equation:


Simplifying
(x + 4)(x + -3) = (2x + 9)(x + -3)

Reorder the terms:
(4 + x)(x + -3) = (2x + 9)(x + -3)

Reorder the terms:
(4 + x)(-3 + x) = (2x + 9)(x + -3)

Multiply (4 + x) * (-3 + x)
(4(-3 + x) + x(-3 + x)) = (2x + 9)(x + -3)
((-3 * 4 + x * 4) + x(-3 + x)) = (2x + 9)(x + -3)
((-12 + 4x) + x(-3 + x)) = (2x + 9)(x + -3)
(-12 + 4x + (-3 * x + x * x)) = (2x + 9)(x + -3)
(-12 + 4x + (-3x + x2)) = (2x + 9)(x + -3)

Combine like terms: 4x + -3x = 1x
(-12 + 1x + x2) = (2x + 9)(x + -3)

Reorder the terms:
-12 + 1x + x2 = (9 + 2x)(x + -3)

Reorder the terms:
-12 + 1x + x2 = (9 + 2x)(-3 + x)

Multiply (9 + 2x) * (-3 + x)
-12 + 1x + x2 = (9(-3 + x) + 2x * (-3 + x))
-12 + 1x + x2 = ((-3 * 9 + x * 9) + 2x * (-3 + x))
-12 + 1x + x2 = ((-27 + 9x) + 2x * (-3 + x))
-12 + 1x + x2 = (-27 + 9x + (-3 * 2x + x * 2x))
-12 + 1x + x2 = (-27 + 9x + (-6x + 2x2))

Combine like terms: 9x + -6x = 3x
-12 + 1x + x2 = (-27 + 3x + 2x2)

Solving
-12 + 1x + x2 = -27 + 3x + 2x2

Solving for variable 'x'.

Reorder the terms:
-12 + 27 + 1x + -3x + x2 + -2x2 = -27 + 3x + 2x2 + 27 + -3x + -2x2

Combine like terms: -12 + 27 = 15
15 + 1x + -3x + x2 + -2x2 = -27 + 3x + 2x2 + 27 + -3x + -2x2

Combine like terms: 1x + -3x = -2x
15 + -2x + x2 + -2x2 = -27 + 3x + 2x2 + 27 + -3x + -2x2

Combine like terms: x2 + -2x2 = -1x2
15 + -2x + -1x2 = -27 + 3x + 2x2 + 27 + -3x + -2x2

Reorder the terms:
15 + -2x + -1x2 = -27 + 27 + 3x + -3x + 2x2 + -2x2

Combine like terms: -27 + 27 = 0
15 + -2x + -1x2 = 0 + 3x + -3x + 2x2 + -2x2
15 + -2x + -1x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
15 + -2x + -1x2 = 0 + 2x2 + -2x2
15 + -2x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
15 + -2x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(5 + x) = 0


Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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

Simplifying
5 + x = 0

Solving
5 + x = 0

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

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

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

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

Simplifying
x = -5
Solution
x = {3, -5}

See similar equations:

| X^2-2x-35=2x^2-14x-6 | | 2e=6 | | (X+5)(x-7)=(2x+1)(X-7) | | tan(x)=1.25 | | -6=1/9y | | A/12=23 | | X^5+3x^4-4x^3+12x^2+7x-3=0 | | 14=7x+6 | | Mx/n | | Ifx=2(5X-1)(3X+1) | | -2y-18=-6 | | -15x+6y=0 | | x-4y+5z-3x-y+2z= | | -4+3=-13 | | 3n-7n=36 | | 3c=11/10 | | 3=11/10 | | 5t+6l=15 | | -0.2x^2+176x+21900=15000 | | sqrt(4x-7)+3=10 | | -21=6z | | -x^2+25x-115=0 | | 4(3x+4s)= | | 7x+3z=6+3y | | 4x^3-8x=3 | | -x^2+25x+10=125 | | X+(X*.065)+(x*.20)=24 | | 4x^3-8x-3=0 | | 5x^2+7x-8=5x^2+8x+36 | | 5-6x+7+3x+4x-2=4+2*5 | | -100x^2+2500x+1000=12500 | | 6v+9=-7 |

Equations solver categories