If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4[x(x + 3) + 7] + -5x = 61 Reorder the terms: 4[x(3 + x) + 7] + -5x = 61 4[(3 * x + x * x) + 7] + -5x = 61 4[(3x + x2) + 7] + -5x = 61 Reorder the terms: 4[7 + 3x + x2] + -5x = 61 [7 * 4 + 3x * 4 + x2 * 4] + -5x = 61 [28 + 12x + 4x2] + -5x = 61 Reorder the terms: 28 + 12x + -5x + 4x2 = 61 Combine like terms: 12x + -5x = 7x 28 + 7x + 4x2 = 61 Solving 28 + 7x + 4x2 = 61 Solving for variable 'x'. Reorder the terms: 28 + -61 + 7x + 4x2 = 61 + -61 Combine like terms: 28 + -61 = -33 -33 + 7x + 4x2 = 61 + -61 Combine like terms: 61 + -61 = 0 -33 + 7x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -8.25 + 1.75x + x2 = 0 Move the constant term to the right: Add '8.25' to each side of the equation. -8.25 + 1.75x + 8.25 + x2 = 0 + 8.25 Reorder the terms: -8.25 + 8.25 + 1.75x + x2 = 0 + 8.25 Combine like terms: -8.25 + 8.25 = 0.00 0.00 + 1.75x + x2 = 0 + 8.25 1.75x + x2 = 0 + 8.25 Combine like terms: 0 + 8.25 = 8.25 1.75x + x2 = 8.25 The x term is 1.75x. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75x + 0.765625 + x2 = 8.25 + 0.765625 Reorder the terms: 0.765625 + 1.75x + x2 = 8.25 + 0.765625 Combine like terms: 8.25 + 0.765625 = 9.015625 0.765625 + 1.75x + x2 = 9.015625 Factor a perfect square on the left side: (x + 0.875)(x + 0.875) = 9.015625 Calculate the square root of the right side: 3.002603037 Break this problem into two subproblems by setting (x + 0.875) equal to 3.002603037 and -3.002603037.Subproblem 1
x + 0.875 = 3.002603037 Simplifying x + 0.875 = 3.002603037 Reorder the terms: 0.875 + x = 3.002603037 Solving 0.875 + x = 3.002603037 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + x = 3.002603037 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + x = 3.002603037 + -0.875 x = 3.002603037 + -0.875 Combine like terms: 3.002603037 + -0.875 = 2.127603037 x = 2.127603037 Simplifying x = 2.127603037Subproblem 2
x + 0.875 = -3.002603037 Simplifying x + 0.875 = -3.002603037 Reorder the terms: 0.875 + x = -3.002603037 Solving 0.875 + x = -3.002603037 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + x = -3.002603037 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + x = -3.002603037 + -0.875 x = -3.002603037 + -0.875 Combine like terms: -3.002603037 + -0.875 = -3.877603037 x = -3.877603037 Simplifying x = -3.877603037Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.127603037, -3.877603037}
| 5+2x=4x+6 | | 7x^2+73x+30=0 | | 7v=24+4v | | -1(n+3)=2(-4n+3) | | 13x^2-54x+8=0 | | 3(16-2x)= | | 3d-29=9d+19 | | 7(x-5)+6=7x+3 | | 20=16x^2+29x+3.8 | | 5p-16=5 | | 20+2.65y=18 | | 9x^2-9(a+b)x+(2a^2+5ab+2b^2)=0 | | 7(x-11)-3x=531 | | 3*x^4+x^2-2=0 | | 15=-16x^2+29x+3.8 | | 4x^4-12x^3+9x^2+2x-3=0 | | 3(x+5)+9x=2(x-4) | | 8-27=62 | | 1/4+1=6 | | 9-3(-4+3x)+12x=36 | | -2(-4m-6.4)=44.8 | | 2(r-2)=3r-7(3-r) | | -5(-3u+5)-u=6(u-3)-5 | | (X+5)5=49 | | 10x^2+54x+20=0 | | -2+9x-1x+6x=40 | | 13y=9y | | n-4=19-2n | | 2(x-3)=x-6-5x | | 34+x=19 | | Y=x^3-49x | | 16h+5h-14h-6h-1=14 |