If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 445.5 = 2x2 + 6x Reorder the terms: 445.5 = 6x + 2x2 Solving 445.5 = 6x + 2x2 Solving for variable 'x'. Reorder the terms: 445.5 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2 Combine like terms: 6x + -6x = 0 445.5 + -6x + -2x2 = 0 + 2x2 + -2x2 445.5 + -6x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 445.5 + -6x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -222.75 + 3x + x2 = 0 Move the constant term to the right: Add '222.75' to each side of the equation. -222.75 + 3x + 222.75 + x2 = 0 + 222.75 Reorder the terms: -222.75 + 222.75 + 3x + x2 = 0 + 222.75 Combine like terms: -222.75 + 222.75 = 0.00 0.00 + 3x + x2 = 0 + 222.75 3x + x2 = 0 + 222.75 Combine like terms: 0 + 222.75 = 222.75 3x + x2 = 222.75 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 = 222.75 + 2.25 Reorder the terms: 2.25 + 3x + x2 = 222.75 + 2.25 Combine like terms: 222.75 + 2.25 = 225 2.25 + 3x + x2 = 225 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = 225 Calculate the square root of the right side: 15 Break this problem into two subproblems by setting (x + 1.5) equal to 15 and -15.Subproblem 1
x + 1.5 = 15 Simplifying x + 1.5 = 15 Reorder the terms: 1.5 + x = 15 Solving 1.5 + x = 15 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 = 15 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 15 + -1.5 x = 15 + -1.5 Combine like terms: 15 + -1.5 = 13.5 x = 13.5 Simplifying x = 13.5Subproblem 2
x + 1.5 = -15 Simplifying x + 1.5 = -15 Reorder the terms: 1.5 + x = -15 Solving 1.5 + x = -15 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 = -15 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = -15 + -1.5 x = -15 + -1.5 Combine like terms: -15 + -1.5 = -16.5 x = -16.5 Simplifying x = -16.5Solution
The solution to the problem is based on the solutions from the subproblems. x = {13.5, -16.5}
| -50f=18 | | 9x-(7x+4)=3x-26 | | 2h+3h+4=14 | | X+5000+x+2x=35000 | | 6x+4+2x-2=90 | | 4r=1.50 | | F-32=9/5(k-273.15) | | 2c/6=3 | | x-12y=-210andx-6y+90 | | -5z+-z=18 | | 5y+13=88 | | 8(3x+5)-3=109 | | 3(4)+3(2+7)=(4+9) | | 5x=1/5x=93 | | 10f=9f+9 | | 2q-6=12 | | f/0.8=-9 | | 10s=8s+10 | | 3.3m=3.40 | | f(2)=5x^4-5x+10 | | 93=19+2c | | 4g=3g+3 | | 83=17-(-2y) | | -14=-(31+p) | | 8z=6+7z | | f(-1)=5x^4-5x+10 | | 10(x-3)=5x-80 | | 3x+x-3+5x+12=180 | | x^2+7x-35=2x+1 | | 3+7m=10m | | z-19=-16 | | w-17.3=-7.6 |