15x^2-40x-20=0

Simple and best practice solution for 15x^2-40x-20=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 15x^2-40x-20=0 equation:


Simplifying
15x2 + -40x + -20 = 0

Reorder the terms:
-20 + -40x + 15x2 = 0

Solving
-20 + -40x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + -8x + 3x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-4 + -8x + 3x2)' equal to zero and attempt to solve: Simplifying -4 + -8x + 3x2 = 0 Solving -4 + -8x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1.333333333 + -2.666666667x + x2 = 0 Move the constant term to the right: Add '1.333333333' to each side of the equation. -1.333333333 + -2.666666667x + 1.333333333 + x2 = 0 + 1.333333333 Reorder the terms: -1.333333333 + 1.333333333 + -2.666666667x + x2 = 0 + 1.333333333 Combine like terms: -1.333333333 + 1.333333333 = 0.000000000 0.000000000 + -2.666666667x + x2 = 0 + 1.333333333 -2.666666667x + x2 = 0 + 1.333333333 Combine like terms: 0 + 1.333333333 = 1.333333333 -2.666666667x + x2 = 1.333333333 The x term is -2.666666667x. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667x + 1.777777780 + x2 = 1.333333333 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667x + x2 = 1.333333333 + 1.777777780 Combine like terms: 1.333333333 + 1.777777780 = 3.111111113 1.777777780 + -2.666666667x + x2 = 3.111111113 Factor a perfect square on the left side: (x + -1.333333334)(x + -1.333333334) = 3.111111113 Calculate the square root of the right side: 1.763834208 Break this problem into two subproblems by setting (x + -1.333333334) equal to 1.763834208 and -1.763834208.

Subproblem 1

x + -1.333333334 = 1.763834208 Simplifying x + -1.333333334 = 1.763834208 Reorder the terms: -1.333333334 + x = 1.763834208 Solving -1.333333334 + x = 1.763834208 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.333333334' to each side of the equation. -1.333333334 + 1.333333334 + x = 1.763834208 + 1.333333334 Combine like terms: -1.333333334 + 1.333333334 = 0.000000000 0.000000000 + x = 1.763834208 + 1.333333334 x = 1.763834208 + 1.333333334 Combine like terms: 1.763834208 + 1.333333334 = 3.097167542 x = 3.097167542 Simplifying x = 3.097167542

Subproblem 2

x + -1.333333334 = -1.763834208 Simplifying x + -1.333333334 = -1.763834208 Reorder the terms: -1.333333334 + x = -1.763834208 Solving -1.333333334 + x = -1.763834208 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.333333334' to each side of the equation. -1.333333334 + 1.333333334 + x = -1.763834208 + 1.333333334 Combine like terms: -1.333333334 + 1.333333334 = 0.000000000 0.000000000 + x = -1.763834208 + 1.333333334 x = -1.763834208 + 1.333333334 Combine like terms: -1.763834208 + 1.333333334 = -0.430500874 x = -0.430500874 Simplifying x = -0.430500874

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.097167542, -0.430500874}

Solution

x = {3.097167542, -0.430500874}

See similar equations:

| D=2b-4a | | -6n+3n-1=1-4n | | 5-7x-3=-5 | | (2/3x)-7=x | | 2(2a+2ab+2bc)=4a+4b+4c | | 9c^2-49g^2= | | 11+-3x=9+5x | | .15=x+(.12-x)*1.8 | | 48t=3t^3 | | 36a^2-4a+63a-7=0 | | 2p+8p=0 | | 25r^2+60rp+36p^2= | | .5(2-3x)=1.5-.1(x+7) | | 25r^2+6-rp+36p^2= | | 5n+34=21(1-7) | | (32x)1/5 | | x+8x-24=12 | | 2(-15)-55=5 | | 7[1-(-9x-2)]=315x+77 | | 2(-15)-55= | | 5x^4-8x^2+3=0 | | 9+2x=2+-3x | | F(x)=5x^2-8x+2 | | 9c^2-30c+25= | | y=10-3(-15) | | 8c-2c=-70 | | 2x-28=56 | | 1/2x-9=18 | | 5j=81/3 | | 12(y-5)=13y+2 | | 15x-x^2-48=0 | | 20x-5=86 |

Equations solver categories