4x+12+3=(2x-3)(2x+3)

Simple and best practice solution for 4x+12+3=(2x-3)(2x+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 4x+12+3=(2x-3)(2x+3) equation:


Simplifying
4x + 12 + 3 = (2x + -3)(2x + 3)

Reorder the terms:
12 + 3 + 4x = (2x + -3)(2x + 3)

Combine like terms: 12 + 3 = 15
15 + 4x = (2x + -3)(2x + 3)

Reorder the terms:
15 + 4x = (-3 + 2x)(2x + 3)

Reorder the terms:
15 + 4x = (-3 + 2x)(3 + 2x)

Multiply (-3 + 2x) * (3 + 2x)
15 + 4x = (-3(3 + 2x) + 2x * (3 + 2x))
15 + 4x = ((3 * -3 + 2x * -3) + 2x * (3 + 2x))
15 + 4x = ((-9 + -6x) + 2x * (3 + 2x))
15 + 4x = (-9 + -6x + (3 * 2x + 2x * 2x))
15 + 4x = (-9 + -6x + (6x + 4x2))

Combine like terms: -6x + 6x = 0
15 + 4x = (-9 + 0 + 4x2)
15 + 4x = (-9 + 4x2)

Solving
15 + 4x = -9 + 4x2

Solving for variable 'x'.

Reorder the terms:
15 + 9 + 4x + -4x2 = -9 + 4x2 + 9 + -4x2

Combine like terms: 15 + 9 = 24
24 + 4x + -4x2 = -9 + 4x2 + 9 + -4x2

Reorder the terms:
24 + 4x + -4x2 = -9 + 9 + 4x2 + -4x2

Combine like terms: -9 + 9 = 0
24 + 4x + -4x2 = 0 + 4x2 + -4x2
24 + 4x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
24 + 4x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + x + -1x2) = 0

Factor a trinomial.
4((3 + -1x)(2 + x)) = 0

Ignore the factor 4.

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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {3, -2}

See similar equations:

| 4y+x=-22 | | 4x+y=-22 | | 3x^2-7x+K^2-2K=0 | | x+y=175 | | y+x=20 | | 4x(x+3)+3=(2x-3)(2x+3) | | -2.4y+0.1x=10.5 | | -2.4x+0.1y=10.5 | | 2y+3x^3-5x-y^2+3xy=8 | | 5y=-5x+10 | | 6y=6x+6 | | 6x=6y+6 | | .25(8z-4)=z+8-22 | | -2x-2(7)=-6 | | y=4(1)+2 | | 13=8+6p-7p | | 3=-4x-21 | | 2x^2-11x-124=0 | | -x(5x+-10)=50 | | -13=8-6p-7p | | 4x^4+3x^3+2x^2+x=0 | | -3z=-2 | | 0.75(x-2)=12 | | 3(2x+1)+4(x+9)=29 | | 3(x+5)=2(x-5) | | 12(x-1)=5(x-8) | | 4(x-8)=2(x+6) | | 9(x+6)=8(x+8) | | 2(3-x)+3(x-5)=0 | | 2(1-x)=3(2-x) | | 3(x-10)=2(x-15) | | (4-5i)(5-i)= |

Equations solver categories