If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3x2 + -9x + 300 = 0 Reorder the terms: 300 + -9x + -3x2 = 0 Solving 300 + -9x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(100 + -3x + -1x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(100 + -3x + -1x2)' equal to zero and attempt to solve: Simplifying 100 + -3x + -1x2 = 0 Solving 100 + -3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -100 + 3x + x2 = 0 Move the constant term to the right: Add '100' to each side of the equation. -100 + 3x + 100 + x2 = 0 + 100 Reorder the terms: -100 + 100 + 3x + x2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 3x + x2 = 0 + 100 3x + x2 = 0 + 100 Combine like terms: 0 + 100 = 100 3x + x2 = 100 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = 100 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 100 + 2.25 Combine like terms: 100 + 2.25 = 102.25 2.25 + 3x + x2 = 102.25 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 102.25 Calculate the square root of the right side: 10.111874208 Break this problem into two subproblems by setting (x + 1.5) equal to 10.111874208 and -10.111874208.Subproblem 1
x + 1.5 = 10.111874208 Simplifying x + 1.5 = 10.111874208 Reorder the terms: 1.5 + x = 10.111874208 Solving 1.5 + x = 10.111874208 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 10.111874208 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 10.111874208 + -1.5 x = 10.111874208 + -1.5 Combine like terms: 10.111874208 + -1.5 = 8.611874208 x = 8.611874208 Simplifying x = 8.611874208Subproblem 2
x + 1.5 = -10.111874208 Simplifying x + 1.5 = -10.111874208 Reorder the terms: 1.5 + x = -10.111874208 Solving 1.5 + x = -10.111874208 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = -10.111874208 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -10.111874208 + -1.5 x = -10.111874208 + -1.5 Combine like terms: -10.111874208 + -1.5 = -11.611874208 x = -11.611874208 Simplifying x = -11.611874208Solution
The solution to the problem is based on the solutions from the subproblems. x = {8.611874208, -11.611874208}Solution
x = {8.611874208, -11.611874208}
| y=-4(-3)+11 | | 7y+7+9y-1= | | 16z-14=18 | | -x+3y-2z=-3 | | 3+u=9 | | 3x-4y-7x+8y+10-12= | | 5p+4p-7p-p=8 | | 10y-2y=16 | | 107+16x-3+28=360 | | X+2+y=0 | | Y=200X+6000 | | 6x-2y=4x | | 33=1(1.04)/k-.05 | | -18s-10s+14s=-14 | | 17-4f=5 | | 2x+y-z= | | 7=3+2p | | z^2-14z+49=-144 | | 20x^2+14x-6=0 | | 3x*6x-12=24x+2-8 | | 3z-z=8 | | X+84=192 | | y=e^2x+x | | -3=9+2d | | 20x^2+14-6=0 | | 14=a/7-4 | | 11f=7(1-2)+7 | | 15w^2-24w-12=0 | | 10y-16y-y=20 | | 13y+22=87 | | 3p^2+12p-37=0 | | 100lnx-3x=100 |