(x-7)(3x+5)=0

Simple and best practice solution for (x-7)(3x+5)=0 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)(3x+5)=0 equation: 


Simplifying
(x + -7)(3x + 5) = 0

Reorder the terms:
(-7 + x)(3x + 5) = 0

Reorder the terms:
(-7 + x)(5 + 3x) = 0

Multiply (-7 + x) * (5 + 3x)
(-7(5 + 3x) + x(5 + 3x)) = 0
((5 * -7 + 3x * -7) + x(5 + 3x)) = 0
((-35 + -21x) + x(5 + 3x)) = 0
(-35 + -21x + (5 * x + 3x * x)) = 0
(-35 + -21x + (5x + 3x2)) = 0

Combine like terms: -21x + 5x = -16x
(-35 + -16x + 3x2) = 0

Solving
-35 + -16x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -3x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying
-5 + -3x = 0

Solving
-5 + -3x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = 0 + 5
-3x = 0 + 5

Combine like terms: 0 + 5 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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 = {-1.666666667, 7}

See similar equations:

| [x-2]=10 | | 8(4f-1)-12f=11(2f-6) | | 4k+13=5 | | g(6x+10)=30x+49 | | 3.14*4*4*8= | | 5x-x+11-8= | | 3.14*4*8= | | 7-8x=109-29x | | 2(6t+3)=18-3(16-3t) | | 94=4x+6 | | -14=-7y | | 16-6x+10x=-2(-3x+1) | | 4s+5(7s-3)=9(s-5) | | 31=x+14 | | 4x+10x-8+4x-4x= | | 16m+5n-6m+8n= | | m-13=-13 | | -4f=-16.4 | | 4x^2=22x+42 | | 8x=7x-27 | | m+16-28+5=176 | | Y^2-90=13y | | 2x^2+7x-2=-x^2+2x | | 9(11-y)=3(3y-9) | | 4(x-5)+2=1/3(x+9)+2x/3 | | 0.6(x-5)=0.4x-12 | | 1r-7r-30=0 | | 5x-5=14x-68 | | 1.7=f-1.3 | | k-7.2=3.54 | | 8x+12=15-9 | | 4x+5=2x+7 |

Equations solver categories