If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = (6x2 + -66x + 135) Reorder the terms: 0 = (135 + -66x + 6x2) Remove parenthesis around (135 + -66x + 6x2) 0 = 135 + -66x + 6x2 Solving 0 = 135 + -66x + 6x2 Solving for variable 'x'. Combine like terms: 0 + -135 = -135 -135 + 66x + -6x2 = 135 + -66x + 6x2 + -135 + 66x + -6x2 Reorder the terms: -135 + 66x + -6x2 = 135 + -135 + -66x + 66x + 6x2 + -6x2 Combine like terms: 135 + -135 = 0 -135 + 66x + -6x2 = 0 + -66x + 66x + 6x2 + -6x2 -135 + 66x + -6x2 = -66x + 66x + 6x2 + -6x2 Combine like terms: -66x + 66x = 0 -135 + 66x + -6x2 = 0 + 6x2 + -6x2 -135 + 66x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -135 + 66x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-45 + 22x + -2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-45 + 22x + -2x2)' equal to zero and attempt to solve: Simplifying -45 + 22x + -2x2 = 0 Solving -45 + 22x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 22.5 + -11x + x2 = 0 Move the constant term to the right: Add '-22.5' to each side of the equation. 22.5 + -11x + -22.5 + x2 = 0 + -22.5 Reorder the terms: 22.5 + -22.5 + -11x + x2 = 0 + -22.5 Combine like terms: 22.5 + -22.5 = 0.0 0.0 + -11x + x2 = 0 + -22.5 -11x + x2 = 0 + -22.5 Combine like terms: 0 + -22.5 = -22.5 -11x + x2 = -22.5 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -22.5 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -22.5 + 30.25 Combine like terms: -22.5 + 30.25 = 7.75 30.25 + -11x + x2 = 7.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = 7.75 Calculate the square root of the right side: 2.783882181 Break this problem into two subproblems by setting (x + -5.5) equal to 2.783882181 and -2.783882181.Subproblem 1
x + -5.5 = 2.783882181 Simplifying x + -5.5 = 2.783882181 Reorder the terms: -5.5 + x = 2.783882181 Solving -5.5 + x = 2.783882181 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + x = 2.783882181 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x = 2.783882181 + 5.5 x = 2.783882181 + 5.5 Combine like terms: 2.783882181 + 5.5 = 8.283882181 x = 8.283882181 Simplifying x = 8.283882181Subproblem 2
x + -5.5 = -2.783882181 Simplifying x + -5.5 = -2.783882181 Reorder the terms: -5.5 + x = -2.783882181 Solving -5.5 + x = -2.783882181 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + x = -2.783882181 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x = -2.783882181 + 5.5 x = -2.783882181 + 5.5 Combine like terms: -2.783882181 + 5.5 = 2.716117819 x = 2.716117819 Simplifying x = 2.716117819Solution
The solution to the problem is based on the solutions from the subproblems. x = {8.283882181, 2.716117819}Solution
x = {8.283882181, 2.716117819}
| (3/4)x-3=-18= | | .25x=400 | | 7z-8+9-4z= | | f+2f+6=3(f+2) | | -2(-3x+[-5])=28 | | 34(6-2.5x)=15(2x-7)+21.5 | | 45m^3-30m^2+5m= | | 5x=4x-17 | | -15.5n-5.89=-13.17-16.3n | | 1/2(x-12)=1/4(x-12) | | 4x+2x+10=9x-17 | | 10r^2-23r+12=0 | | 10x-5=6x+39 | | 18.49+12.5s=-5.3s+16.5s-6.6 | | 0.5(4x-16)+8x=12 | | 618.5172=2*3.14*r^2+2*3.14rh | | -4(x-5)=2(x+8) | | 4x-3=7x-21 | | F+3+2f+3=3(f+2) | | 60=210-5q | | -x-11+3x+13=4 | | 9x-3=12x-9 | | 8y^3-24y^2-432y= | | 5x+2=x+30 | | -7.5h=2.25-7.2h | | (9r+4)(r+3)=0 | | 4/38=7/x | | 2x-3=4x-23 | | 8(5x+10)=40x-7 | | -.2x^2+7x+150=210 | | 6s(s+8)=0 | | x(x-5)+1=3x(x+3) |