(3x+7)(-2x+4)=0

Simple and best practice solution for (3x+7)(-2x+4)=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+4)=0 equation: 


Simplifying
(3x + 7)(-2x + 4) = 0

Reorder the terms:
(7 + 3x)(-2x + 4) = 0

Reorder the terms:
(7 + 3x)(4 + -2x) = 0

Multiply (7 + 3x) * (4 + -2x)
(7(4 + -2x) + 3x * (4 + -2x)) = 0
((4 * 7 + -2x * 7) + 3x * (4 + -2x)) = 0
((28 + -14x) + 3x * (4 + -2x)) = 0
(28 + -14x + (4 * 3x + -2x * 3x)) = 0
(28 + -14x + (12x + -6x2)) = 0

Combine like terms: -14x + 12x = -2x
(28 + -2x + -6x2) = 0

Solving
28 + -2x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -1x + -3x2) = 0

Factor a trinomial.
2((2 + -1x)(7 + 3x)) = 0

Ignore the factor 2.

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 '(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
Solution
x = {2, -2.333333333}

See similar equations:

| (2/7)/3 | | x^2*(x-4)=0 | | 3xy+3xy-60x= | | 8(x-2)=2x+38 | | 24x-17=13x+4 | | 9/12=x/18 | | w=(a/8) | | 3.2-7.4=-7.8+3.6 | | x+5x+5+4x+17=132 | | m*x=2 | | 14/20=3/x | | 29904+.3x+.2x=x | | f(x)=2x^2+6x-20 | | 5x^4-47x^2+18=0 | | (3x^2y^5/9x^4y^-3)^-6 | | x=jef^2 | | 36=44-w | | 6x+25=50-1x | | An=4n-260 | | 2.9x=11.31 | | 17x-7=2x-113 | | 29+3x=50 | | (2[-2.5]+5)(-m[-2.5]+9)=0 | | 11x+16y=616 | | 15-4(x-5)=3x+19 | | 2x(3-2)=6 | | 4-12+9+2+x=8 | | 3x^4+22x^2+7=0 | | sin^2(x)+4sin(x)-5=0 | | 15n-20=7 | | 2x+4(x-9)=3x-20 | | -23-3x=6x+24 |

Equations solver categories