(4x+9)(x-4)=20x+45

Simple and best practice solution for (4x+9)(x-4)=20x+45 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+9)(x-4)=20x+45 equation: 


Simplifying
(4x + 9)(x + -4) = 20x + 45

Reorder the terms:
(9 + 4x)(x + -4) = 20x + 45

Reorder the terms:
(9 + 4x)(-4 + x) = 20x + 45

Multiply (9 + 4x) * (-4 + x)
(9(-4 + x) + 4x * (-4 + x)) = 20x + 45
((-4 * 9 + x * 9) + 4x * (-4 + x)) = 20x + 45
((-36 + 9x) + 4x * (-4 + x)) = 20x + 45
(-36 + 9x + (-4 * 4x + x * 4x)) = 20x + 45
(-36 + 9x + (-16x + 4x2)) = 20x + 45

Combine like terms: 9x + -16x = -7x
(-36 + -7x + 4x2) = 20x + 45

Reorder the terms:
-36 + -7x + 4x2 = 45 + 20x

Solving
-36 + -7x + 4x2 = 45 + 20x

Solving for variable 'x'.

Reorder the terms:
-36 + -45 + -7x + -20x + 4x2 = 45 + 20x + -45 + -20x

Combine like terms: -36 + -45 = -81
-81 + -7x + -20x + 4x2 = 45 + 20x + -45 + -20x

Combine like terms: -7x + -20x = -27x
-81 + -27x + 4x2 = 45 + 20x + -45 + -20x

Reorder the terms:
-81 + -27x + 4x2 = 45 + -45 + 20x + -20x

Combine like terms: 45 + -45 = 0
-81 + -27x + 4x2 = 0 + 20x + -20x
-81 + -27x + 4x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
-81 + -27x + 4x2 = 0

Factor a trinomial.
(-9 + -4x)(9 + -1x) = 0


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

Simplifying
-9 + -4x = 0

Solving
-9 + -4x = 0

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

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

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

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

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-2.25, 9}

See similar equations:

| 6x+3=3x-27 | | 2x+5y=-8 | | a+3+3a=-1+3a+4 | | 8a-6=17 | | 3x-9=1x+12 | | 5(-5+4x)=-205 | | (x+5)(x-3)=(2x+1)(x-3) | | 3(4)-5y=15 | | 19c=26c-43 | | 7x^2-26x-8=0 | | 0.50x+0.15(50)=29.5 | | 3(4)-5=15 | | X^2+7x-180=0 | | 9+3x=5(x+2) | | Y-10=2y+4 | | 16x+6=12x+12 | | (9x+21)+(2x+16)=90 | | 2x+2x^2=60 | | F-11=7 | | 11x-3=74 | | 112=30x^2-10x+12 | | b+(b-1500)=5(b-1900) | | 6a-2=11 | | 40-k=42 | | 3+9(x-3)=6-4(x-1) | | 8a^2b^3-16a^3b^2= | | 0.4n-1/5=5 | | X+(7.65x)=200 | | 4z^4-8z^2= | | P(X)=-2X+3P(-4) | | 3(3-5x)=99 | | 8x+4y=10 |

Equations solver categories