(3x+8)(5x-40)=90

Simple and best practice solution for (3x+8)(5x-40)=90 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+8)(5x-40)=90 equation:


Simplifying
(3x + 8)(5x + -40) = 90

Reorder the terms:
(8 + 3x)(5x + -40) = 90

Reorder the terms:
(8 + 3x)(-40 + 5x) = 90

Multiply (8 + 3x) * (-40 + 5x)
(8(-40 + 5x) + 3x * (-40 + 5x)) = 90
((-40 * 8 + 5x * 8) + 3x * (-40 + 5x)) = 90
((-320 + 40x) + 3x * (-40 + 5x)) = 90
(-320 + 40x + (-40 * 3x + 5x * 3x)) = 90
(-320 + 40x + (-120x + 15x2)) = 90

Combine like terms: 40x + -120x = -80x
(-320 + -80x + 15x2) = 90

Solving
-320 + -80x + 15x2 = 90

Solving for variable 'x'.

Reorder the terms:
-320 + -90 + -80x + 15x2 = 90 + -90

Combine like terms: -320 + -90 = -410
-410 + -80x + 15x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-410 + -80x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-82 + -16x + 3x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-82 + -16x + 3x2)' equal to zero and attempt to solve: Simplifying -82 + -16x + 3x2 = 0 Solving -82 + -16x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -27.33333333 + -5.333333333x + x2 = 0 Move the constant term to the right: Add '27.33333333' to each side of the equation. -27.33333333 + -5.333333333x + 27.33333333 + x2 = 0 + 27.33333333 Reorder the terms: -27.33333333 + 27.33333333 + -5.333333333x + x2 = 0 + 27.33333333 Combine like terms: -27.33333333 + 27.33333333 = 0.00000000 0.00000000 + -5.333333333x + x2 = 0 + 27.33333333 -5.333333333x + x2 = 0 + 27.33333333 Combine like terms: 0 + 27.33333333 = 27.33333333 -5.333333333x + x2 = 27.33333333 The x term is -5.333333333x. Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. -5.333333333x + 7.111111113 + x2 = 27.33333333 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333x + x2 = 27.33333333 + 7.111111113 Combine like terms: 27.33333333 + 7.111111113 = 34.444444443 7.111111113 + -5.333333333x + x2 = 34.444444443 Factor a perfect square on the left side: (x + -2.666666667)(x + -2.666666667) = 34.444444443 Calculate the square root of the right side: 5.868938954 Break this problem into two subproblems by setting (x + -2.666666667) equal to 5.868938954 and -5.868938954.

Subproblem 1

x + -2.666666667 = 5.868938954 Simplifying x + -2.666666667 = 5.868938954 Reorder the terms: -2.666666667 + x = 5.868938954 Solving -2.666666667 + x = 5.868938954 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.666666667' to each side of the equation. -2.666666667 + 2.666666667 + x = 5.868938954 + 2.666666667 Combine like terms: -2.666666667 + 2.666666667 = 0.000000000 0.000000000 + x = 5.868938954 + 2.666666667 x = 5.868938954 + 2.666666667 Combine like terms: 5.868938954 + 2.666666667 = 8.535605621 x = 8.535605621 Simplifying x = 8.535605621

Subproblem 2

x + -2.666666667 = -5.868938954 Simplifying x + -2.666666667 = -5.868938954 Reorder the terms: -2.666666667 + x = -5.868938954 Solving -2.666666667 + x = -5.868938954 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.666666667' to each side of the equation. -2.666666667 + 2.666666667 + x = -5.868938954 + 2.666666667 Combine like terms: -2.666666667 + 2.666666667 = 0.000000000 0.000000000 + x = -5.868938954 + 2.666666667 x = -5.868938954 + 2.666666667 Combine like terms: -5.868938954 + 2.666666667 = -3.202272287 x = -3.202272287 Simplifying x = -3.202272287

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.535605621, -3.202272287}

Solution

x = {8.535605621, -3.202272287}

See similar equations:

| 3x+8+5x+5=180 | | 7a+9=3a+49 | | x^2+441=20 | | [x-(5+3i)][x-(5-3i)]=0 | | 4x+9=49 | | x^2+9=-15 | | 2x-3=49 | | x+(x-30)=30 | | y^2=4 | | 16x^2-24+9=0 | | 7(b+3)=7b+4 | | 16x^24+9=0 | | 8x-40=10x+x | | 66x=467 | | 2x-22=23 | | -2(2s-6)-12=-3(3s+6)-5 | | 5x=3x+6x+8 | | y=2(x)(x)-16x+30 | | x-19+x+83=180 | | 4.9x+1=-3.9x | | 5x+2=110 | | 6.2x-7=-6.8x-9 | | 3x+4y=-13 | | -7.6x+6=5.4x+2 | | -2-6(x-1)=7(x-3)+2 | | 3-2(x+3)=2(x-2)+2 | | (-2x-2)+(-x+5)=-4x-4 | | 2(8c-15)5(3c)= | | ax-1+bx-0.5+cx-0.25=0 | | 9-(-2x+5)=-7(-5x-6) | | 57x+37=0 | | 45x-86=0 |

Equations solver categories