If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + 24)(x + 32) = 1174.25 Reorder the terms: (24 + x)(x + 32) = 1174.25 Reorder the terms: (24 + x)(32 + x) = 1174.25 Multiply (24 + x) * (32 + x) (24(32 + x) + x(32 + x)) = 1174.25 ((32 * 24 + x * 24) + x(32 + x)) = 1174.25 ((768 + 24x) + x(32 + x)) = 1174.25 (768 + 24x + (32 * x + x * x)) = 1174.25 (768 + 24x + (32x + x2)) = 1174.25 Combine like terms: 24x + 32x = 56x (768 + 56x + x2) = 1174.25 Solving 768 + 56x + x2 = 1174.25 Solving for variable 'x'. Reorder the terms: 768 + -1174.25 + 56x + x2 = 1174.25 + -1174.25 Combine like terms: 768 + -1174.25 = -406.25 -406.25 + 56x + x2 = 1174.25 + -1174.25 Combine like terms: 1174.25 + -1174.25 = 0.00 -406.25 + 56x + x2 = 0.00 Begin completing the square. Move the constant term to the right: Add '406.25' to each side of the equation. -406.25 + 56x + 406.25 + x2 = 0.00 + 406.25 Reorder the terms: -406.25 + 406.25 + 56x + x2 = 0.00 + 406.25 Combine like terms: -406.25 + 406.25 = 0.00 0.00 + 56x + x2 = 0.00 + 406.25 56x + x2 = 0.00 + 406.25 Combine like terms: 0.00 + 406.25 = 406.25 56x + x2 = 406.25 The x term is 56x. Take half its coefficient (28). Square it (784) and add it to both sides. Add '784' to each side of the equation. 56x + 784 + x2 = 406.25 + 784 Reorder the terms: 784 + 56x + x2 = 406.25 + 784 Combine like terms: 406.25 + 784 = 1190.25 784 + 56x + x2 = 1190.25 Factor a perfect square on the left side: (x + 28)(x + 28) = 1190.25 Calculate the square root of the right side: 34.5 Break this problem into two subproblems by setting (x + 28) equal to 34.5 and -34.5.Subproblem 1
x + 28 = 34.5 Simplifying x + 28 = 34.5 Reorder the terms: 28 + x = 34.5 Solving 28 + x = 34.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + x = 34.5 + -28 Combine like terms: 28 + -28 = 0 0 + x = 34.5 + -28 x = 34.5 + -28 Combine like terms: 34.5 + -28 = 6.5 x = 6.5 Simplifying x = 6.5Subproblem 2
x + 28 = -34.5 Simplifying x + 28 = -34.5 Reorder the terms: 28 + x = -34.5 Solving 28 + x = -34.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + x = -34.5 + -28 Combine like terms: 28 + -28 = 0 0 + x = -34.5 + -28 x = -34.5 + -28 Combine like terms: -34.5 + -28 = -62.5 x = -62.5 Simplifying x = -62.5Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.5, -62.5}
| 1/2*16= | | 7.5a+12=6 | | 2/3y+2=10 | | -33.3t+16t^2=0 | | 5*2/3= | | 3y+=27 | | 6-2x=14+x | | -a^2+3a+4= | | 11x^2-12x+27=0 | | 91-2x=10-8x | | 4(2x-8)=3(2x-6) | | 3(x+4)=9x+6 | | 3/5x+7/2x=1 | | 11x^2+36x+45=0 | | 13y=2 | | .36x+16=4 | | log[5](9x-4)=1 | | 2(3-x)=14+x | | 4(2x-3)=2(x-9) | | 0=33.3t-16t^2 | | -11x^2+36x+45=0 | | ln(-6-5x)=2ln(x) | | ln(-6-5x)=2ln(x) | | 2(x+3)=3(x+3) | | y=28+18.25x | | 122.5=3.5x+2y | | 14=2b-6+3b | | 6(u-3)-8u=-4 | | 9p^2-24p+10=0 | | 3.5x+2y=122.5 | | -8/-x | | 7r+2r=99 |