If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 360 = 3x(2x + 5) Reorder the terms: 360 = 3x(5 + 2x) 360 = (5 * 3x + 2x * 3x) 360 = (15x + 6x2) Solving 360 = 15x + 6x2 Solving for variable 'x'. Reorder the terms: 360 + -15x + -6x2 = 15x + -15x + 6x2 + -6x2 Combine like terms: 15x + -15x = 0 360 + -15x + -6x2 = 0 + 6x2 + -6x2 360 + -15x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 360 + -15x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(120 + -5x + -2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(120 + -5x + -2x2)' equal to zero and attempt to solve: Simplifying 120 + -5x + -2x2 = 0 Solving 120 + -5x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -60 + 2.5x + x2 = 0 Move the constant term to the right: Add '60' to each side of the equation. -60 + 2.5x + 60 + x2 = 0 + 60 Reorder the terms: -60 + 60 + 2.5x + x2 = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 2.5x + x2 = 0 + 60 2.5x + x2 = 0 + 60 Combine like terms: 0 + 60 = 60 2.5x + x2 = 60 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = 60 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = 60 + 1.5625 Combine like terms: 60 + 1.5625 = 61.5625 1.5625 + 2.5x + x2 = 61.5625 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = 61.5625 Calculate the square root of the right side: 7.846177413 Break this problem into two subproblems by setting (x + 1.25) equal to 7.846177413 and -7.846177413.Subproblem 1
x + 1.25 = 7.846177413 Simplifying x + 1.25 = 7.846177413 Reorder the terms: 1.25 + x = 7.846177413 Solving 1.25 + x = 7.846177413 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = 7.846177413 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = 7.846177413 + -1.25 x = 7.846177413 + -1.25 Combine like terms: 7.846177413 + -1.25 = 6.596177413 x = 6.596177413 Simplifying x = 6.596177413Subproblem 2
x + 1.25 = -7.846177413 Simplifying x + 1.25 = -7.846177413 Reorder the terms: 1.25 + x = -7.846177413 Solving 1.25 + x = -7.846177413 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + x = -7.846177413 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + x = -7.846177413 + -1.25 x = -7.846177413 + -1.25 Combine like terms: -7.846177413 + -1.25 = -9.096177413 x = -9.096177413 Simplifying x = -9.096177413Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.596177413, -9.096177413}Solution
x = {6.596177413, -9.096177413}
| -.0462t^2-.2592t+1.861=0 | | 7m-1(2m-9)=39 | | 16-6x=10-8x | | -6-6x=10-8 | | 6x-y=-17 | | 6(t+5)/36 | | -8(y-2)+3y=-5y+16-4y | | 9+12/3-(2-5)= | | 18a-20=15a+7 | | 4x+17=-26+42x | | -9+n/3=2 | | -5+11=12x-3-11x | | -2/8x-6=-3/8x-14 | | b=90+(10+9)w | | x+12/30=5-6 | | 5(5c-1)-1=23c+2 | | 17+-1(6x+3)=-16 | | 3y-7=-6y-56 | | F-(-4.78)=8.77 | | 4(3x+2)+-18=14 | | R-6.7=-4.7 | | 21/2+1/4 | | 13.1=v+(-0.9) | | y=x^4-5x^2-44 | | -33=-3+5x | | 8(3c+-5)+20=-68 | | 17.03=3g+3.95 | | 2t=18.66 | | 12n-8-3n+4= | | 1.36g-6=0.12 | | T-(-257)=261 | | 3u-9=12 |