If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x2 + -11x + -42 = 0 Reorder the terms: -42 + -11x + 4x2 = 0 Solving -42 + -11x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -10.5 + -2.75x + x2 = 0 Move the constant term to the right: Add '10.5' to each side of the equation. -10.5 + -2.75x + 10.5 + x2 = 0 + 10.5 Reorder the terms: -10.5 + 10.5 + -2.75x + x2 = 0 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + -2.75x + x2 = 0 + 10.5 -2.75x + x2 = 0 + 10.5 Combine like terms: 0 + 10.5 = 10.5 -2.75x + x2 = 10.5 The x term is -2.75x. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75x + 1.890625 + x2 = 10.5 + 1.890625 Reorder the terms: 1.890625 + -2.75x + x2 = 10.5 + 1.890625 Combine like terms: 10.5 + 1.890625 = 12.390625 1.890625 + -2.75x + x2 = 12.390625 Factor a perfect square on the left side: (x + -1.375)(x + -1.375) = 12.390625 Calculate the square root of the right side: 3.52003196 Break this problem into two subproblems by setting (x + -1.375) equal to 3.52003196 and -3.52003196.Subproblem 1
x + -1.375 = 3.52003196 Simplifying x + -1.375 = 3.52003196 Reorder the terms: -1.375 + x = 3.52003196 Solving -1.375 + x = 3.52003196 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.375' to each side of the equation. -1.375 + 1.375 + x = 3.52003196 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + x = 3.52003196 + 1.375 x = 3.52003196 + 1.375 Combine like terms: 3.52003196 + 1.375 = 4.89503196 x = 4.89503196 Simplifying x = 4.89503196Subproblem 2
x + -1.375 = -3.52003196 Simplifying x + -1.375 = -3.52003196 Reorder the terms: -1.375 + x = -3.52003196 Solving -1.375 + x = -3.52003196 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.375' to each side of the equation. -1.375 + 1.375 + x = -3.52003196 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + x = -3.52003196 + 1.375 x = -3.52003196 + 1.375 Combine like terms: -3.52003196 + 1.375 = -2.14503196 x = -2.14503196 Simplifying x = -2.14503196Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.89503196, -2.14503196}
| 3y+10=2y+28 | | 29x-34x=6-11 | | 18+4y=-8 | | -3(18x+4)=-4(19x+5) | | 6.3w+4=14.71 | | 3017.54=4*3.14r^2 | | 5w+17=-3(w+5) | | -37+19=-7x+13x | | 96=3/5X | | 4-4=8x+7x | | 3(4n-2)=10+4 | | 12x^3-9x+27=0 | | -2.8=-0.6u+0.2u | | (2x/3)=-(5/9) | | (27x)/3=1 | | a^3+12a^2+32a-120=0 | | Y=COS(X-45) | | 7/4t=-6/7 | | -(5/9)/(2/3) | | 24y+32=-248 | | 2xsquared+4x=126 | | -2(4f+g)=28 | | -7x-4=2(4-0.2x) | | -8p=120 | | 4y-2x+5x-3x= | | 3y-1+10x=360 | | 3×2/7 | | 7t-3=t+35 | | y=-10x^2-7 | | -12-15t=33 | | 7x-11y=12 | | 7z-12-2z+0=0 |