If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x(x + -40) + -121 = x(2x + -3) + -1 Reorder the terms: 5x(-40 + x) + -121 = x(2x + -3) + -1 (-40 * 5x + x * 5x) + -121 = x(2x + -3) + -1 (-200x + 5x2) + -121 = x(2x + -3) + -1 Reorder the terms: -121 + -200x + 5x2 = x(2x + -3) + -1 Reorder the terms: -121 + -200x + 5x2 = x(-3 + 2x) + -1 -121 + -200x + 5x2 = (-3 * x + 2x * x) + -1 -121 + -200x + 5x2 = (-3x + 2x2) + -1 Reorder the terms: -121 + -200x + 5x2 = -1 + -3x + 2x2 Solving -121 + -200x + 5x2 = -1 + -3x + 2x2 Solving for variable 'x'. Reorder the terms: -121 + 1 + -200x + 3x + 5x2 + -2x2 = -1 + -3x + 2x2 + 1 + 3x + -2x2 Combine like terms: -121 + 1 = -120 -120 + -200x + 3x + 5x2 + -2x2 = -1 + -3x + 2x2 + 1 + 3x + -2x2 Combine like terms: -200x + 3x = -197x -120 + -197x + 5x2 + -2x2 = -1 + -3x + 2x2 + 1 + 3x + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 -120 + -197x + 3x2 = -1 + -3x + 2x2 + 1 + 3x + -2x2 Reorder the terms: -120 + -197x + 3x2 = -1 + 1 + -3x + 3x + 2x2 + -2x2 Combine like terms: -1 + 1 = 0 -120 + -197x + 3x2 = 0 + -3x + 3x + 2x2 + -2x2 -120 + -197x + 3x2 = -3x + 3x + 2x2 + -2x2 Combine like terms: -3x + 3x = 0 -120 + -197x + 3x2 = 0 + 2x2 + -2x2 -120 + -197x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -120 + -197x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -40 + -65.66666667x + x2 = 0 Move the constant term to the right: Add '40' to each side of the equation. -40 + -65.66666667x + 40 + x2 = 0 + 40 Reorder the terms: -40 + 40 + -65.66666667x + x2 = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -65.66666667x + x2 = 0 + 40 -65.66666667x + x2 = 0 + 40 Combine like terms: 0 + 40 = 40 -65.66666667x + x2 = 40 The x term is -65.66666667x. Take half its coefficient (-32.83333334). Square it (1078.027778) and add it to both sides. Add '1078.027778' to each side of the equation. -65.66666667x + 1078.027778 + x2 = 40 + 1078.027778 Reorder the terms: 1078.027778 + -65.66666667x + x2 = 40 + 1078.027778 Combine like terms: 40 + 1078.027778 = 1118.027778 1078.027778 + -65.66666667x + x2 = 1118.027778 Factor a perfect square on the left side: (x + -32.83333334)(x + -32.83333334) = 1118.027778 Calculate the square root of the right side: 33.436922376 Break this problem into two subproblems by setting (x + -32.83333334) equal to 33.436922376 and -33.436922376.Subproblem 1
x + -32.83333334 = 33.436922376 Simplifying x + -32.83333334 = 33.436922376 Reorder the terms: -32.83333334 + x = 33.436922376 Solving -32.83333334 + x = 33.436922376 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32.83333334' to each side of the equation. -32.83333334 + 32.83333334 + x = 33.436922376 + 32.83333334 Combine like terms: -32.83333334 + 32.83333334 = 0.00000000 0.00000000 + x = 33.436922376 + 32.83333334 x = 33.436922376 + 32.83333334 Combine like terms: 33.436922376 + 32.83333334 = 66.270255716 x = 66.270255716 Simplifying x = 66.270255716Subproblem 2
x + -32.83333334 = -33.436922376 Simplifying x + -32.83333334 = -33.436922376 Reorder the terms: -32.83333334 + x = -33.436922376 Solving -32.83333334 + x = -33.436922376 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32.83333334' to each side of the equation. -32.83333334 + 32.83333334 + x = -33.436922376 + 32.83333334 Combine like terms: -32.83333334 + 32.83333334 = 0.00000000 0.00000000 + x = -33.436922376 + 32.83333334 x = -33.436922376 + 32.83333334 Combine like terms: -33.436922376 + 32.83333334 = -0.603589036 x = -0.603589036 Simplifying x = -0.603589036Solution
The solution to the problem is based on the solutions from the subproblems. x = {66.270255716, -0.603589036}
| 18=2-4j | | x^2+40x+600=0 | | 4(x+2)-2=0.5 | | x^2+0-48=0 | | -50+6x=x+97 | | 2.3x=10.58 | | 4(c-2)=3(c+4) | | X=2/5(4.80) | | x^2-3x-48=3x | | 2x-23=180 | | 7x-9=-107 | | X=2/5*$4.70 | | 3x8/9 | | 3x^5+3=213 | | x^3+5x^2-3x=0 | | 2/9-7=x | | 6*7=3*7 | | 2+4(X-2)+5X=-96 | | t+10=7t-c | | -33-10x=19-12x | | a-ab^2=-32b | | 2w^2+12w=180 | | 3x=2y+24 | | 5/3×5/4 | | -7x+1=51 | | 12/9= | | 117.345+m=20 | | 8x^5-3=0 | | 8*7=4*7 | | x^2+y^4=1 | | y+7=-(x+6) | | 8x-(-x-7)=6x+40 |