(2x+1)(x-4)=45

Simple and best practice solution for (2x+1)(x-4)=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 (2x+1)(x-4)=45 equation: 


Simplifying
(2x + 1)(x + -4) = 45

Reorder the terms:
(1 + 2x)(x + -4) = 45

Reorder the terms:
(1 + 2x)(-4 + x) = 45

Multiply (1 + 2x) * (-4 + x)
(1(-4 + x) + 2x * (-4 + x)) = 45
((-4 * 1 + x * 1) + 2x * (-4 + x)) = 45
((-4 + 1x) + 2x * (-4 + x)) = 45
(-4 + 1x + (-4 * 2x + x * 2x)) = 45
(-4 + 1x + (-8x + 2x2)) = 45

Combine like terms: 1x + -8x = -7x
(-4 + -7x + 2x2) = 45

Solving
-4 + -7x + 2x2 = 45

Solving for variable 'x'.

Reorder the terms:
-4 + -45 + -7x + 2x2 = 45 + -45

Combine like terms: -4 + -45 = -49
-49 + -7x + 2x2 = 45 + -45

Combine like terms: 45 + -45 = 0
-49 + -7x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-3.5, 7}

See similar equations:

| (x+8)2=7 | | 4-8w-3+2w=-17 | | (2b^2)(a^5)(2b^4a)=4b^6a^5 | | 3*y=9 | | y=4.5x-5 | | y=4.5x-5 | | y=4.5x-5 | | y=4.5x-5 | | y=4.5x-5 | | y=4.5x-5 | | y=4.5x-5 | | y=4.5x-5 | | y=4.5x-5 | | y=4.5x-5 | | 50-5c-5=5c-105 | | -10(6x-9)=10(x+9) | | f=4021.50-3744 | | 10p+9-11-9=-2(2p+4)-3(2p-2) | | -9x-13=-10 | | 3=2+2z+2 | | 1.99*B+50=3.99*B | | 4v+11=-6(7-4v)-3(2-5v) | | 8p-1=-25 | | 20x+2x=10+16x | | z^2+z-20= | | 500.12+x=1900.66 | | x+96+99=400 | | -30=3(4x+10) | | 0.1(5x+20)-5=0.25 | | (3x^3)(2x^2y)=6x^5y | | (28+14g)+10+w+(-8)+3w= | | 16x+3y=40 |

Equations solver categories