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

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


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

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

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

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

Combine like terms: 12x + -14x = -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:

| -2y=3x+6 | | 0.25w+5=3w+10 | | (x+2)*(x+9)= | | 5x-x=222 | | 3+x=31 | | 3+n=31 | | 4x^2+y=4 | | .75n-18=.25n-4 | | 8(5-t)+2=-2(t-4)-3 | | (-0.5)3a+b=-14(-0.5) | | 5x(x+3)+7x=-7 | | 12x^2+42x+18=0 | | 20p=15+5p | | 3a+b=-14(-0.5) | | 3.5=3x-2.5 | | 60(x)=165 | | 3a+(-0.5)b=-14 | | (-0.5)3a+b=-14 | | 9.2r-26=0.5r-29 | | 4*2/6*8=m | | 3x(3x)-4=23 | | b^2+5n-35=3b | | 3x+-1=2x+2 | | 15(x)=289 | | 4*2/6*8= | | 4/2*6/8=m | | 4/2*6/8= | | (3x-2)+(4x-6)+(-2x+5)= | | -4x+10y=-4 | | 0.6-1=4x+3 | | 4x+26= | | -11=d-13 |

Equations solver categories