(4x+3)(x-1)=15

Simple and best practice solution for (4x+3)(x-1)=15 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+3)(x-1)=15 equation: 


Simplifying
(4x + 3)(x + -1) = 15

Reorder the terms:
(3 + 4x)(x + -1) = 15

Reorder the terms:
(3 + 4x)(-1 + x) = 15

Multiply (3 + 4x) * (-1 + x)
(3(-1 + x) + 4x * (-1 + x)) = 15
((-1 * 3 + x * 3) + 4x * (-1 + x)) = 15
((-3 + 3x) + 4x * (-1 + x)) = 15
(-3 + 3x + (-1 * 4x + x * 4x)) = 15
(-3 + 3x + (-4x + 4x2)) = 15

Combine like terms: 3x + -4x = -1x
(-3 + -1x + 4x2) = 15

Solving
-3 + -1x + 4x2 = 15

Solving for variable 'x'.

Reorder the terms:
-3 + -15 + -1x + 4x2 = 15 + -15

Combine like terms: -3 + -15 = -18
-18 + -1x + 4x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-18 + -1x + 4x2 = 0

Factor a trinomial.
(-2 + -1x)(9 + -4x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
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
Solution
x = {-2, 2.25}

See similar equations:

| x-4+10=6 | | 2a-4=100 | | x-18=39 | | 19x-23=23x+55 | | 309x-(987-6)=2 | | -2x-6=-1/4x-3 | | y+3y-2+90=180 | | 9y+8=8y-8 | | 5/x-2=2/x+1 | | 3(7+x)=75 | | 2n+5=6n+4 | | -4p+3+5p=12 | | 5(2a+2)-9=10 | | 12x-2=-38 | | Y^2+9-6y=0 | | 9x-2x^2=6 | | 7p^2=-33-20 | | 2x-12y=-16 | | 6+2y=7y-4 | | -.2x^2+90x-2000=0 | | 34=5lnx-2 | | 2(4x+1)+3=-2x(1-2x)+6 | | 5(y+2)-4= | | 2-9(3-8x)=0 | | 3(x+9)=9x+9-6x+18 | | 0.4(3x+6)=1.8-(x+2) | | 10x-2+7=27 | | 10x-2+5=27 | | 2*x+7=87 | | 27z^2+72z+48= | | 98=0.06r+0.1(r-300) | | 9x-2=9(x+9) |

Equations solver categories