If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + -3x = 45.50 Reorder the terms: -3x + 2x2 = 45.50 Solving -3x + 2x2 = 45.50 Solving for variable 'x'. Reorder the terms: -45.50 + -3x + 2x2 = 45.50 + -45.50 Combine like terms: 45.50 + -45.50 = 0.00 -45.50 + -3x + 2x2 = 0.00 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -22.75 + -1.5x + x2 = 0.00 Move the constant term to the right: Add '22.75' to each side of the equation. -22.75 + -1.5x + 22.75 + x2 = 0.00 + 22.75 Reorder the terms: -22.75 + 22.75 + -1.5x + x2 = 0.00 + 22.75 Combine like terms: -22.75 + 22.75 = 0.00 0.00 + -1.5x + x2 = 0.00 + 22.75 -1.5x + x2 = 0.00 + 22.75 Combine like terms: 0.00 + 22.75 = 22.75 -1.5x + x2 = 22.75 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = 22.75 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = 22.75 + 0.5625 Combine like terms: 22.75 + 0.5625 = 23.3125 0.5625 + -1.5x + x2 = 23.3125 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 23.3125 Calculate the square root of the right side: 4.828301979 Break this problem into two subproblems by setting (x + -0.75) equal to 4.828301979 and -4.828301979.Subproblem 1
x + -0.75 = 4.828301979 Simplifying x + -0.75 = 4.828301979 Reorder the terms: -0.75 + x = 4.828301979 Solving -0.75 + x = 4.828301979 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = 4.828301979 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 4.828301979 + 0.75 x = 4.828301979 + 0.75 Combine like terms: 4.828301979 + 0.75 = 5.578301979 x = 5.578301979 Simplifying x = 5.578301979Subproblem 2
x + -0.75 = -4.828301979 Simplifying x + -0.75 = -4.828301979 Reorder the terms: -0.75 + x = -4.828301979 Solving -0.75 + x = -4.828301979 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = -4.828301979 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -4.828301979 + 0.75 x = -4.828301979 + 0.75 Combine like terms: -4.828301979 + 0.75 = -4.078301979 x = -4.078301979 Simplifying x = -4.078301979Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.578301979, -4.078301979}
| f(x)=2x^2+9x+5 | | (-x+2)5=(-x-4)7 | | 12x=3+x | | (-x+2)5=(-x-4) | | -27=-5y | | -2-(4-4p)= | | 4x^2-(x^2+25)=0 | | (-x-2)5=(-x-4)7 | | p-9p= | | 9+4x=15-x | | 7+3x-6=9x+1-4x | | (5y+8)-(2+4y)=7 | | y=25x+615 | | 2x^2+2x=5x^2-35x | | 4t+1+4t-7t=4+2 | | x^2-20x+55=0 | | 3v=-28 | | y=4-y | | -3.5+7p=-5.2 | | h=256+1600 | | 2.80x=54+x | | h=-16t+1600 | | 2(x+2)-4=2x | | Cy^2=x^2+y | | -3.5+7p=5.2 | | 0.5=sin(2x) | | t^2=(1/36) | | 6v^2-6t^2=0 | | -3w=1w | | 50s^2+60s+18=0 | | 12+a/33=22 | | ln(2x^2-3x+2)=0 |