If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4x + 24 = 4x2 + -32 Reorder the terms: 24 + 4x = 4x2 + -32 Reorder the terms: 24 + 4x = -32 + 4x2 Solving 24 + 4x = -32 + 4x2 Solving for variable 'x'. Reorder the terms: 24 + 32 + 4x + -4x2 = -32 + 4x2 + 32 + -4x2 Combine like terms: 24 + 32 = 56 56 + 4x + -4x2 = -32 + 4x2 + 32 + -4x2 Reorder the terms: 56 + 4x + -4x2 = -32 + 32 + 4x2 + -4x2 Combine like terms: -32 + 32 = 0 56 + 4x + -4x2 = 0 + 4x2 + -4x2 56 + 4x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 56 + 4x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(14 + x + -1x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(14 + x + -1x2)' equal to zero and attempt to solve: Simplifying 14 + x + -1x2 = 0 Solving 14 + x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -14 + -1x + x2 = 0 Move the constant term to the right: Add '14' to each side of the equation. -14 + -1x + 14 + x2 = 0 + 14 Reorder the terms: -14 + 14 + -1x + x2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x + x2 = 0 + 14 -1x + x2 = 0 + 14 Combine like terms: 0 + 14 = 14 -1x + x2 = 14 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = 14 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 14 + 0.25 Combine like terms: 14 + 0.25 = 14.25 0.25 + -1x + x2 = 14.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 14.25 Calculate the square root of the right side: 3.774917218 Break this problem into two subproblems by setting (x + 0.5) equal to 3.774917218 and -3.774917218.Subproblem 1
x + 0.5 = 3.774917218 Simplifying x + 0.5 = 3.774917218 Reorder the terms: 0.5 + x = 3.774917218 Solving 0.5 + x = 3.774917218 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 3.774917218 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 3.774917218 + -0.5 x = 3.774917218 + -0.5 Combine like terms: 3.774917218 + -0.5 = 3.274917218 x = 3.274917218 Simplifying x = 3.274917218Subproblem 2
x + 0.5 = -3.774917218 Simplifying x + 0.5 = -3.774917218 Reorder the terms: 0.5 + x = -3.774917218 Solving 0.5 + x = -3.774917218 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -3.774917218 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -3.774917218 + -0.5 x = -3.774917218 + -0.5 Combine like terms: -3.774917218 + -0.5 = -4.274917218 x = -4.274917218 Simplifying x = -4.274917218Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.274917218, -4.274917218}Solution
x = {3.274917218, -4.274917218}
| X+4s= | | 20-3x-8=7x-4x | | x+0.04x=130 | | D=65T | | 3(w-6)=2(6-w) | | 50+8=450 | | -7r-8=6r+5 | | 73=xsquared | | -2n+4(-3n-2)= | | (x-5)(2x-5)=y-95 | | -4x^3+36=0 | | 4(b-5)+6= | | 3x+2-8x=-13 | | 1.5d+5.75=2+2.75d | | -6y-8=5y-9 | | 14m-42+56m=28 | | X+2m=10 | | 9c-6-12c=18 | | -30y+12x=-8 | | 8+14x=10x+3x-10 | | 9n-3=7(n+3)+2 | | 15x-10+5x=25 | | 8(3w+8)=-5 | | 5(2k+1)=3(k+4) | | 6x-2x-20=36 | | 9-3=7(n+3)+2 | | 18y+27=45 | | a+9=-12 | | 4x+2(4x)=24 | | 5(a-2)=75 | | 30x^2=6-11x | | 9(x+9)=8+8x |