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 = 441 Reorder the terms: 21 + 10x + x2 = 441 Solving 21 + 10x + x2 = 441 Solving for variable 'x'. Reorder the terms: 21 + -441 + 10x + x2 = 441 + -441 Combine like terms: 21 + -441 = -420 -420 + 10x + x2 = 441 + -441 Combine like terms: 441 + -441 = 0 -420 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '420' to each side of the equation. -420 + 10x + 420 + x2 = 0 + 420 Reorder the terms: -420 + 420 + 10x + x2 = 0 + 420 Combine like terms: -420 + 420 = 0 0 + 10x + x2 = 0 + 420 10x + x2 = 0 + 420 Combine like terms: 0 + 420 = 420 10x + x2 = 420 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 = 420 + 25 Reorder the terms: 25 + 10x + x2 = 420 + 25 Combine like terms: 420 + 25 = 445 25 + 10x + x2 = 445 Factor a perfect square on the left side: (x + 5)(x + 5) = 445 Calculate the square root of the right side: 21.09502311 Break this problem into two subproblems by setting (x + 5) equal to 21.09502311 and -21.09502311.Subproblem 1
x + 5 = 21.09502311 Simplifying x + 5 = 21.09502311 Reorder the terms: 5 + x = 21.09502311 Solving 5 + x = 21.09502311 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 = 21.09502311 + -5 Combine like terms: 5 + -5 = 0 0 + x = 21.09502311 + -5 x = 21.09502311 + -5 Combine like terms: 21.09502311 + -5 = 16.09502311 x = 16.09502311 Simplifying x = 16.09502311Subproblem 2
x + 5 = -21.09502311 Simplifying x + 5 = -21.09502311 Reorder the terms: 5 + x = -21.09502311 Solving 5 + x = -21.09502311 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 = -21.09502311 + -5 Combine like terms: 5 + -5 = 0 0 + x = -21.09502311 + -5 x = -21.09502311 + -5 Combine like terms: -21.09502311 + -5 = -26.09502311 x = -26.09502311 Simplifying x = -26.09502311Solution
The solution to the problem is based on the solutions from the subproblems. x = {16.09502311, -26.09502311}
| x^2+10x+21=400 | | 4x^2-72=0 | | x^2+10x+21=361 | | 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 |