If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 10x + 21 = 361 Reorder the terms: 21 + 10x + x2 = 361 Solving 21 + 10x + x2 = 361 Solving for variable 'x'. Reorder the terms: 21 + -361 + 10x + x2 = 361 + -361 Combine like terms: 21 + -361 = -340 -340 + 10x + x2 = 361 + -361 Combine like terms: 361 + -361 = 0 -340 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '340' to each side of the equation. -340 + 10x + 340 + x2 = 0 + 340 Reorder the terms: -340 + 340 + 10x + x2 = 0 + 340 Combine like terms: -340 + 340 = 0 0 + 10x + x2 = 0 + 340 10x + x2 = 0 + 340 Combine like terms: 0 + 340 = 340 10x + x2 = 340 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 = 340 + 25 Reorder the terms: 25 + 10x + x2 = 340 + 25 Combine like terms: 340 + 25 = 365 25 + 10x + x2 = 365 Factor a perfect square on the left side: (x + 5)(x + 5) = 365 Calculate the square root of the right side: 19.104973175 Break this problem into two subproblems by setting (x + 5) equal to 19.104973175 and -19.104973175.Subproblem 1
x + 5 = 19.104973175 Simplifying x + 5 = 19.104973175 Reorder the terms: 5 + x = 19.104973175 Solving 5 + x = 19.104973175 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 = 19.104973175 + -5 Combine like terms: 5 + -5 = 0 0 + x = 19.104973175 + -5 x = 19.104973175 + -5 Combine like terms: 19.104973175 + -5 = 14.104973175 x = 14.104973175 Simplifying x = 14.104973175Subproblem 2
x + 5 = -19.104973175 Simplifying x + 5 = -19.104973175 Reorder the terms: 5 + x = -19.104973175 Solving 5 + x = -19.104973175 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 = -19.104973175 + -5 Combine like terms: 5 + -5 = 0 0 + x = -19.104973175 + -5 x = -19.104973175 + -5 Combine like terms: -19.104973175 + -5 = -24.104973175 x = -24.104973175 Simplifying x = -24.104973175Solution
The solution to the problem is based on the solutions from the subproblems. x = {14.104973175, -24.104973175}
| x^2+10x+21=324 | | x^2+10x+21=289 | | x^2+10x+21=256 | | 6(-2x)-3x=-30 | | x^2+10x+21=225 | | x^2+10x+21=196 | | 11+-11= | | x^2+10x+21=169 | | x^2+10x+21=144 | | 11+x= | | 8x+28=-23 | | x^2+10x+21=121 | | 8(x+2)=-2(3x+4) | | y*z= | | 0.5(2x+3)=0.25(8x-6) | | 25y^2-34y+9= | | -1.6*5= | | 2x^2-28x+82=0 | | 5y+8= | | 4y-8= | | 5a/6-7/12+3a/4=-13/6 | | 11x^2+3-[6(x^2-2)+8]= | | -8+16=a+6-4 | | 4(4y-8)-(5y+8)= | | 3(x-3)=4(3x+6) | | 33y=5.5 | | 8(x-1)=3(3x-2) | | 3(2x-3)=5(x-4) | | -6h+8=-28+12h | | -4n+7+5n=14 | | -10x+58=8 | | 8x-y-4=0 |