If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 109 = 7(1 + 6x) * 8x Reorder the terms for easier multiplication: 109 = 7 * 8x(1 + 6x) Multiply 7 * 8 109 = 56x(1 + 6x) 109 = (1 * 56x + 6x * 56x) 109 = (56x + 336x2) Solving 109 = 56x + 336x2 Solving for variable 'x'. Reorder the terms: 109 + -56x + -336x2 = 56x + -56x + 336x2 + -336x2 Combine like terms: 56x + -56x = 0 109 + -56x + -336x2 = 0 + 336x2 + -336x2 109 + -56x + -336x2 = 336x2 + -336x2 Combine like terms: 336x2 + -336x2 = 0 109 + -56x + -336x2 = 0 Begin completing the square. Divide all terms by -336 the coefficient of the squared term: Divide each side by '-336'. -0.3244047619 + 0.1666666667x + x2 = 0 Move the constant term to the right: Add '0.3244047619' to each side of the equation. -0.3244047619 + 0.1666666667x + 0.3244047619 + x2 = 0 + 0.3244047619 Reorder the terms: -0.3244047619 + 0.3244047619 + 0.1666666667x + x2 = 0 + 0.3244047619 Combine like terms: -0.3244047619 + 0.3244047619 = 0.0000000000 0.0000000000 + 0.1666666667x + x2 = 0 + 0.3244047619 0.1666666667x + x2 = 0 + 0.3244047619 Combine like terms: 0 + 0.3244047619 = 0.3244047619 0.1666666667x + x2 = 0.3244047619 The x term is 0.1666666667x. Take half its coefficient (0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. 0.1666666667x + 0.006944444447 + x2 = 0.3244047619 + 0.006944444447 Reorder the terms: 0.006944444447 + 0.1666666667x + x2 = 0.3244047619 + 0.006944444447 Combine like terms: 0.3244047619 + 0.006944444447 = 0.331349206347 0.006944444447 + 0.1666666667x + x2 = 0.331349206347 Factor a perfect square on the left side: (x + 0.08333333335)(x + 0.08333333335) = 0.331349206347 Calculate the square root of the right side: 0.5756294 Break this problem into two subproblems by setting (x + 0.08333333335) equal to 0.5756294 and -0.5756294.Subproblem 1
x + 0.08333333335 = 0.5756294 Simplifying x + 0.08333333335 = 0.5756294 Reorder the terms: 0.08333333335 + x = 0.5756294 Solving 0.08333333335 + x = 0.5756294 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08333333335' to each side of the equation. 0.08333333335 + -0.08333333335 + x = 0.5756294 + -0.08333333335 Combine like terms: 0.08333333335 + -0.08333333335 = 0.00000000000 0.00000000000 + x = 0.5756294 + -0.08333333335 x = 0.5756294 + -0.08333333335 Combine like terms: 0.5756294 + -0.08333333335 = 0.49229606665 x = 0.49229606665 Simplifying x = 0.49229606665Subproblem 2
x + 0.08333333335 = -0.5756294 Simplifying x + 0.08333333335 = -0.5756294 Reorder the terms: 0.08333333335 + x = -0.5756294 Solving 0.08333333335 + x = -0.5756294 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.08333333335' to each side of the equation. 0.08333333335 + -0.08333333335 + x = -0.5756294 + -0.08333333335 Combine like terms: 0.08333333335 + -0.08333333335 = 0.00000000000 0.00000000000 + x = -0.5756294 + -0.08333333335 x = -0.5756294 + -0.08333333335 Combine like terms: -0.5756294 + -0.08333333335 = -0.65896273335 x = -0.65896273335 Simplifying x = -0.65896273335Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.49229606665, -0.65896273335}
| 2(v-5)=14 | | 18x^5-21x^3=15x | | 12/x=4.8 | | 3w+5=4w+3 | | F(x)=9+6x-x^3 | | -0.5v-1.33333333=3v+2.5 | | 3b-13=67 | | 4/3x=28/3 | | -1/2x^2-24 | | 7-4h=2(1+2h+h) | | 48-15=2x | | -4(y-18)=-4 | | 2w+4=4w+2 | | A^2-12a+30=3 | | 2w+2=4w+2 | | 2x^3=x^2+3x | | 4(q+11)-17=-1 | | 3x+4.7=6.7-1.5x | | 2x^4+8x^2-20=0 | | 7(x-3)=1 | | r-10=7+2r | | 2x=1/3x-4/9 | | (x+7)+(3x-9)=90 | | z+4z=40 | | 32x-64=0 | | 19+9=30 | | 2(z+10)=-14 | | 6x^2+8x=7 | | (X)+(4x-10)=90 | | 3xy+4z+2z-2xy= | | 10-2=-6(z+5) | | 6=-3n |