(x+7)(5x-1)=29x+3x^2

Simple and best practice solution for (x+7)(5x-1)=29x+3x^2 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+7)(5x-1)=29x+3x^2 equation: 


Simplifying
(x + 7)(5x + -1) = 29x + 3x2

Reorder the terms:
(7 + x)(5x + -1) = 29x + 3x2

Reorder the terms:
(7 + x)(-1 + 5x) = 29x + 3x2

Multiply (7 + x) * (-1 + 5x)
(7(-1 + 5x) + x(-1 + 5x)) = 29x + 3x2
((-1 * 7 + 5x * 7) + x(-1 + 5x)) = 29x + 3x2
((-7 + 35x) + x(-1 + 5x)) = 29x + 3x2
(-7 + 35x + (-1 * x + 5x * x)) = 29x + 3x2
(-7 + 35x + (-1x + 5x2)) = 29x + 3x2

Combine like terms: 35x + -1x = 34x
(-7 + 34x + 5x2) = 29x + 3x2

Solving
-7 + 34x + 5x2 = 29x + 3x2

Solving for variable 'x'.

Reorder the terms:
-7 + 34x + -29x + 5x2 + -3x2 = 29x + 3x2 + -29x + -3x2

Combine like terms: 34x + -29x = 5x
-7 + 5x + 5x2 + -3x2 = 29x + 3x2 + -29x + -3x2

Combine like terms: 5x2 + -3x2 = 2x2
-7 + 5x + 2x2 = 29x + 3x2 + -29x + -3x2

Reorder the terms:
-7 + 5x + 2x2 = 29x + -29x + 3x2 + -3x2

Combine like terms: 29x + -29x = 0
-7 + 5x + 2x2 = 0 + 3x2 + -3x2
-7 + 5x + 2x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-7 + 5x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(1 + -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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-3.5, 1}

See similar equations:

| 7(y-6)-y=6(y+7) | | x=x^2 | | 150-4x=5x+24 | | 12m+7n-3-10m+4n= | | 4d+17=8d-3 | | 5x^2-28x=0 | | y=2sinx-1 | | 2(-a-5)+15=29 | | 4n=16-4 | | 3x-(4x+5)=3x-21 | | -6(c+3)+12=18 | | x^2+3x+4=-x^2-2x+7 | | (5x+4)(4x^2-19x-51)=0 | | 3x^2+21=0 | | 10x^2(-8x^3+6)= | | 2x-5=12x+45 | | (a+12)-9=4 | | 12a-3(a+1)=a+1 | | -(c+8)-4=15 | | -715=11x | | 9y-1=5y+5 | | (x-4)(4x+7)=0 | | 14y^2-13y+3= | | m=2+.25m | | 14x-9+2x-4=13x-2+2x | | X^2+6x=-21 | | 10-10x=40-31x | | 4x+5=2x+13 | | 2x^2+7x-12=12-6x | | -9+3b=18 | | 2x-5=2(x+9) | | 8x-3=28 |

Equations solver categories