If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5x2 + -10x = x2 + 71 Reorder the terms: -10x + 5x2 = x2 + 71 Reorder the terms: -10x + 5x2 = 71 + x2 Solving -10x + 5x2 = 71 + x2 Solving for variable 'x'. Reorder the terms: -71 + -10x + 5x2 + -1x2 = 71 + x2 + -71 + -1x2 Combine like terms: 5x2 + -1x2 = 4x2 -71 + -10x + 4x2 = 71 + x2 + -71 + -1x2 Reorder the terms: -71 + -10x + 4x2 = 71 + -71 + x2 + -1x2 Combine like terms: 71 + -71 = 0 -71 + -10x + 4x2 = 0 + x2 + -1x2 -71 + -10x + 4x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -71 + -10x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -17.75 + -2.5x + x2 = 0 Move the constant term to the right: Add '17.75' to each side of the equation. -17.75 + -2.5x + 17.75 + x2 = 0 + 17.75 Reorder the terms: -17.75 + 17.75 + -2.5x + x2 = 0 + 17.75 Combine like terms: -17.75 + 17.75 = 0.00 0.00 + -2.5x + x2 = 0 + 17.75 -2.5x + x2 = 0 + 17.75 Combine like terms: 0 + 17.75 = 17.75 -2.5x + x2 = 17.75 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = 17.75 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = 17.75 + 1.5625 Combine like terms: 17.75 + 1.5625 = 19.3125 1.5625 + -2.5x + x2 = 19.3125 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = 19.3125 Calculate the square root of the right side: 4.394598958 Break this problem into two subproblems by setting (x + -1.25) equal to 4.394598958 and -4.394598958.Subproblem 1
x + -1.25 = 4.394598958 Simplifying x + -1.25 = 4.394598958 Reorder the terms: -1.25 + x = 4.394598958 Solving -1.25 + x = 4.394598958 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = 4.394598958 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = 4.394598958 + 1.25 x = 4.394598958 + 1.25 Combine like terms: 4.394598958 + 1.25 = 5.644598958 x = 5.644598958 Simplifying x = 5.644598958Subproblem 2
x + -1.25 = -4.394598958 Simplifying x + -1.25 = -4.394598958 Reorder the terms: -1.25 + x = -4.394598958 Solving -1.25 + x = -4.394598958 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + x = -4.394598958 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + x = -4.394598958 + 1.25 x = -4.394598958 + 1.25 Combine like terms: -4.394598958 + 1.25 = -3.144598958 x = -3.144598958 Simplifying x = -3.144598958Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.644598958, -3.144598958}
| https://media.aop.com/curric/ow-sets/curriculum2016/g_mat07_2016/4/img_a_neg6.gif | | x+(4+x)+2x=40 | | 4j-8=10-9j+10j | | 6x-21=4x+25 | | 7+5m+3=6m+2 | | 18+g=-2 | | 2/9=x/13 | | 6y+9=-9 | | z/7=6/10 | | w(26-2w)/2 | | -5q+2=-8q-10 | | =15(6z-3)+3(4+2z) | | 3/7=k/29 | | X^6/x^9= | | c/9-17=21 | | 10=1/5q | | 8y=-10+7y | | d/9=4/26 | | 3/4x-7=1/2 | | Taxi=0 | | 9/c-17=21 | | 2+w+20=4+6+w | | 6g-2=-10+8g | | 25/7=4/n | | 12x-6-12=-2x+-20 | | 90=3(4x-10)+3x | | 4/5=2/y | | X-4/x^2-16 | | 6/3=64/n | | 3/s=5/18 | | 4e^8-64=0 | | 60=4x+32 |
