If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 315 = x2 + 10x Reorder the terms: 315 = 10x + x2 Solving 315 = 10x + x2 Solving for variable 'x'. Reorder the terms: 315 + -10x + -1x2 = 10x + -10x + x2 + -1x2 Combine like terms: 10x + -10x = 0 315 + -10x + -1x2 = 0 + x2 + -1x2 315 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 315 + -10x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -315 + 10x + x2 = 0 Move the constant term to the right: Add '315' to each side of the equation. -315 + 10x + 315 + x2 = 0 + 315 Reorder the terms: -315 + 315 + 10x + x2 = 0 + 315 Combine like terms: -315 + 315 = 0 0 + 10x + x2 = 0 + 315 10x + x2 = 0 + 315 Combine like terms: 0 + 315 = 315 10x + x2 = 315 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = 315 + 25 Reorder the terms: 25 + 10x + x2 = 315 + 25 Combine like terms: 315 + 25 = 340 25 + 10x + x2 = 340 Factor a perfect square on the left side: (x + 5)(x + 5) = 340 Calculate the square root of the right side: 18.439088915 Break this problem into two subproblems by setting (x + 5) equal to 18.439088915 and -18.439088915.Subproblem 1
x + 5 = 18.439088915 Simplifying x + 5 = 18.439088915 Reorder the terms: 5 + x = 18.439088915 Solving 5 + x = 18.439088915 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 18.439088915 + -5 Combine like terms: 5 + -5 = 0 0 + x = 18.439088915 + -5 x = 18.439088915 + -5 Combine like terms: 18.439088915 + -5 = 13.439088915 x = 13.439088915 Simplifying x = 13.439088915Subproblem 2
x + 5 = -18.439088915 Simplifying x + 5 = -18.439088915 Reorder the terms: 5 + x = -18.439088915 Solving 5 + x = -18.439088915 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = -18.439088915 + -5 Combine like terms: 5 + -5 = 0 0 + x = -18.439088915 + -5 x = -18.439088915 + -5 Combine like terms: -18.439088915 + -5 = -23.439088915 x = -23.439088915 Simplifying x = -23.439088915Solution
The solution to the problem is based on the solutions from the subproblems. x = {13.439088915, -23.439088915}
| 3x-5=5x-7 | | x^4+3x+1=0 | | -2A+6B=0 | | 3x=0.36 | | 8x^2-35=63 | | x^2=3x+4 | | 2b^2=8b | | -2w+3=w-12 | | c^2=9 | | 7x+12=4x+9 | | x^2-22x-8=0 | | 2x^2-x+35=0 | | -6x-10x=-128 | | 1950=30p | | 1950=30 | | 6p-15=15-6p | | y=2x^2-18 | | (x-4)(2x+1)=0 | | 3n-21=2n | | x+28=2(x+2) | | 9x^2=42x-24 | | 6x+5x-57=38-8x | | 18x^2+79x-9=0 | | 3x^3-9x^2-30x=0 | | 13+y+4=25 | | y-10=27 | | 8+y=95 | | 6x^2+43x-40=0 | | 12.50*19=x | | 1[3(5+a)-2]=a+5 | | 2x^2+9x-81=0 | | 7x=8x-1 |