(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:

| 2(6+2a)=0 | | 15y-7-3y=53 | | t(t+5)=176 | | 2m-3=-6 | | 3(2x+5)=2(4x-8) | | 8t+4=20 | | 2x^2-7x-32=0 | | s(s-3)=88 | | 5x+x+60=360 | | 6cos^2x+5sinx-7=0 | | 5x+5x+60=360 | | -9p+5=-10+4p | | -9p+5=10+4p | | x+x=10x | | xy*dx+2(x^2+2y^2)*dy=0 | | x+x=5x | | sin50=x/18 | | X^3+x^2+x=30 | | 180x+210y=8310 | | x=5*lnx | | ln(x)+ln(x+10)=9 | | Lnx+ln(x+10)=9 | | 6x+4=-54-6x | | f(x)=(5x^3+3x+9) | | 4f-h-f-3G+2h= | | 2x-1=-(4x+3) | | 3z+15=z+17 | | 6x-13=-79 | | 3z+5=4z+10 | | V=3/16/12 | | 14.0031x+15.0001y=14.0067 | | (x+3)(x-2)=13x-17 |

Equations solver categories