(x+10)(2x-3)=54

Simple and best practice solution for (x+10)(2x-3)=54 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+10)(2x-3)=54 equation: 


Simplifying
(x + 10)(2x + -3) = 54

Reorder the terms:
(10 + x)(2x + -3) = 54

Reorder the terms:
(10 + x)(-3 + 2x) = 54

Multiply (10 + x) * (-3 + 2x)
(10(-3 + 2x) + x(-3 + 2x)) = 54
((-3 * 10 + 2x * 10) + x(-3 + 2x)) = 54
((-30 + 20x) + x(-3 + 2x)) = 54
(-30 + 20x + (-3 * x + 2x * x)) = 54
(-30 + 20x + (-3x + 2x2)) = 54

Combine like terms: 20x + -3x = 17x
(-30 + 17x + 2x2) = 54

Solving
-30 + 17x + 2x2 = 54

Solving for variable 'x'.

Reorder the terms:
-30 + -54 + 17x + 2x2 = 54 + -54

Combine like terms: -30 + -54 = -84
-84 + 17x + 2x2 = 54 + -54

Combine like terms: 54 + -54 = 0
-84 + 17x + 2x2 = 0

Factor a trinomial.
(-12 + -1x)(7 + -2x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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 = {-12, 3.5}

See similar equations:

| -3(7+2x)=9 | | 8X+Y=54 | | x+(-3)=12 | | 3(5)+2y=.2(2y+1) | | 2x+102= | | 2x+9-5x=-6x+3 | | -28-34= | | 2t+5t-7t=8 | | -4(x-2)=-2(x-5) | | 2(x+3)+12-x=1/2(3/4x+12)+2x | | 3(x-.2)+.1x=5.6 | | y=11x-6 | | 11m-10=7(m+10)+4m | | -x=3-2x | | -8(2-m)=4m-24 | | g-3g=24-g | | 2(x+3)+12-x=3 | | 2a-(15)=-1 | | 3x-9x+3=x-5+8 | | 1/9q=9-2/5q | | -44=-11s | | 10(x+4)+5x= | | 12(5x-2)+6=-29-3(x-7) | | 18+5=n+15 | | -7z-4-9z=22 | | 2x+0.4=2x | | 0.12x=0.24 | | 6x+10=25+x | | V^2+14=-9V | | 4(3x+1)=-14x-3 | | 7w+4-3=15 | | 496=F+37+F |

Equations solver categories