(3x+7)(2x-7)=0

Simple and best practice solution for (3x+7)(2x-7)=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 (3x+7)(2x-7)=0 equation: 


Simplifying
(3x + 7)(2x + -7) = 0

Reorder the terms:
(7 + 3x)(2x + -7) = 0

Reorder the terms:
(7 + 3x)(-7 + 2x) = 0

Multiply (7 + 3x) * (-7 + 2x)
(7(-7 + 2x) + 3x * (-7 + 2x)) = 0
((-7 * 7 + 2x * 7) + 3x * (-7 + 2x)) = 0
((-49 + 14x) + 3x * (-7 + 2x)) = 0
(-49 + 14x + (-7 * 3x + 2x * 3x)) = 0
(-49 + 14x + (-21x + 6x2)) = 0

Combine like terms: 14x + -21x = -7x
(-49 + -7x + 6x2) = 0

Solving
-49 + -7x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -3x)(7 + -2x) = 0


Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 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 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
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
Solution
x = {-2.333333333, 3.5}

See similar equations:

| 2(s+2)= | | 1=-2x+9y | | 24+6w= | | 1/2x+2=17 | | 1/2x+2=16 | | 8r^2+2=5r | | (6x+7)(8x-9)=0 | | -13x-18+3x=38 | | 5(-3)(-5)= | | 14+-18=12m | | 2x-18y=10 | | 3x^2+kx+9=0 | | 2t+4=5t#11 | | 2t+4=5t^11 | | 2r^5-7r^4+12r^3-8r^2=0 | | y^3-2.25y^2+.815=0 | | 6x/45 | | 2k+3=11+k | | 40x-30=x+9 | | 7x+6=(25x+3)-(9x+3) | | 78-3x=24x+15 | | 10x^2-33x+9= | | 13-9x=39-16x | | ((v+4)/(v-5))+1=((v-3)/(v-1)) | | y+4=-2+7 | | x+12.9=32.6 | | b/3.05=11.8 | | 8(m+4)= | | X^2-6x^2+12x-8=0 | | 7.78=2(3.14)r | | 12x=2r+40 | | 7.12=2piR |

Equations solver categories