If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + 6)(4x + 3) = 17 Reorder the terms: (6 + x)(4x + 3) = 17 Reorder the terms: (6 + x)(3 + 4x) = 17 Multiply (6 + x) * (3 + 4x) (6(3 + 4x) + x(3 + 4x)) = 17 ((3 * 6 + 4x * 6) + x(3 + 4x)) = 17 ((18 + 24x) + x(3 + 4x)) = 17 (18 + 24x + (3 * x + 4x * x)) = 17 (18 + 24x + (3x + 4x2)) = 17 Combine like terms: 24x + 3x = 27x (18 + 27x + 4x2) = 17 Solving 18 + 27x + 4x2 = 17 Solving for variable 'x'. Reorder the terms: 18 + -17 + 27x + 4x2 = 17 + -17 Combine like terms: 18 + -17 = 1 1 + 27x + 4x2 = 17 + -17 Combine like terms: 17 + -17 = 0 1 + 27x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25 + 6.75x + x2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 6.75x + -0.25 + x2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 6.75x + x2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 6.75x + x2 = 0 + -0.25 6.75x + x2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 6.75x + x2 = -0.25 The x term is 6.75x. Take half its coefficient (3.375). Square it (11.390625) and add it to both sides. Add '11.390625' to each side of the equation. 6.75x + 11.390625 + x2 = -0.25 + 11.390625 Reorder the terms: 11.390625 + 6.75x + x2 = -0.25 + 11.390625 Combine like terms: -0.25 + 11.390625 = 11.140625 11.390625 + 6.75x + x2 = 11.140625 Factor a perfect square on the left side: (x + 3.375)(x + 3.375) = 11.140625 Calculate the square root of the right side: 3.337757481 Break this problem into two subproblems by setting (x + 3.375) equal to 3.337757481 and -3.337757481.Subproblem 1
x + 3.375 = 3.337757481 Simplifying x + 3.375 = 3.337757481 Reorder the terms: 3.375 + x = 3.337757481 Solving 3.375 + x = 3.337757481 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.375' to each side of the equation. 3.375 + -3.375 + x = 3.337757481 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + x = 3.337757481 + -3.375 x = 3.337757481 + -3.375 Combine like terms: 3.337757481 + -3.375 = -0.037242519 x = -0.037242519 Simplifying x = -0.037242519Subproblem 2
x + 3.375 = -3.337757481 Simplifying x + 3.375 = -3.337757481 Reorder the terms: 3.375 + x = -3.337757481 Solving 3.375 + x = -3.337757481 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.375' to each side of the equation. 3.375 + -3.375 + x = -3.337757481 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 0.000 + x = -3.337757481 + -3.375 x = -3.337757481 + -3.375 Combine like terms: -3.337757481 + -3.375 = -6.712757481 x = -6.712757481 Simplifying x = -6.712757481Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.037242519, -6.712757481}
| x+12=3+4x | | 2/3(3x=1)=5 | | 10+10-y=3y | | =sec^2 | | x^2+7=3 | | a^2-15a-76=0 | | Y=x^7+x^5 | | 2k^3+3k^2+k=0 | | 100-2(n-4)=7n | | y4-1/4^2 | | -5n=-96 | | 8.16*10^(-19)=1.986*10^(-25)/x | | 2(X-9)=14 | | 3(X+6)=72 | | 16-r//7=21 | | 34x+13xy+5y= | | x/3-42=-3 | | 14x+4=24 | | 6x^2+22x-20=0 | | 50+-1n+n=50 | | x*(3+x)*(4-2*x)=0 | | m=50+-1n | | x^2+5x-400=0 | | (5+x)(6+x)=0 | | 4(x+2)-5(x+1)=x-1 | | -4p+5=-31 | | f(x)=x^1/2=√x | | 8a-1=12 | | 2x^2-11k-k=8 | | -25=-5n+5 | | 1/5x^2-39/25x-8/25=0 | | 2f+5=5 |