If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + 30x + -180 = 0 Reorder the terms: -180 + 30x + 2x2 = 0 Solving -180 + 30x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-90 + 15x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-90 + 15x + x2)' equal to zero and attempt to solve: Simplifying -90 + 15x + x2 = 0 Solving -90 + 15x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '90' to each side of the equation. -90 + 15x + 90 + x2 = 0 + 90 Reorder the terms: -90 + 90 + 15x + x2 = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 15x + x2 = 0 + 90 15x + x2 = 0 + 90 Combine like terms: 0 + 90 = 90 15x + x2 = 90 The x term is 15x. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15x + 56.25 + x2 = 90 + 56.25 Reorder the terms: 56.25 + 15x + x2 = 90 + 56.25 Combine like terms: 90 + 56.25 = 146.25 56.25 + 15x + x2 = 146.25 Factor a perfect square on the left side: (x + 7.5)(x + 7.5) = 146.25 Calculate the square root of the right side: 12.093386622 Break this problem into two subproblems by setting (x + 7.5) equal to 12.093386622 and -12.093386622.Subproblem 1
x + 7.5 = 12.093386622 Simplifying x + 7.5 = 12.093386622 Reorder the terms: 7.5 + x = 12.093386622 Solving 7.5 + x = 12.093386622 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = 12.093386622 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = 12.093386622 + -7.5 x = 12.093386622 + -7.5 Combine like terms: 12.093386622 + -7.5 = 4.593386622 x = 4.593386622 Simplifying x = 4.593386622Subproblem 2
x + 7.5 = -12.093386622 Simplifying x + 7.5 = -12.093386622 Reorder the terms: 7.5 + x = -12.093386622 Solving 7.5 + x = -12.093386622 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = -12.093386622 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = -12.093386622 + -7.5 x = -12.093386622 + -7.5 Combine like terms: -12.093386622 + -7.5 = -19.593386622 x = -19.593386622 Simplifying x = -19.593386622Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.593386622, -19.593386622}Solution
x = {4.593386622, -19.593386622}
| 3*(x+1)= | | 90=(n)+(n+90-n) | | 90=(n)+(90-n) | | n+(90-n)=90solven | | 40+4=4x-60 | | 3a+5+2a=45 | | 4y-3+2y-5=22 | | 8a(1a-2)=5(a+6) | | 8a(1a-2)=-5(a+6) | | 8a-7=2+9a | | 3x+7=0.5x+2 | | 2x-5=0.5x+4 | | 5x-2=0.5x+7 | | f(4)=6*x+3 | | (x-6)*5=2x | | x-6*5=2x | | 144=72+9x | | 7x-9-3(x-6)=2x | | 3x-2-9(x-6)=2x | | 3x-2-9(x-1)=2x | | 3x-2(x-1)=2x | | 6x(x+2)=5-x | | (7-2i)(3-5i)= | | 4z^2+6z+3=0 | | 3(4x-5)=11x+20 | | (x-4)(x-10)=-9 | | -5x^2=-7x+13 | | y^2-6y=-6 | | 2a^3-9a^2-17a-6=0 | | 3x-2(x+1)=2x | | -4x^2+16x=19 | | 3x-2=41.5 |