If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 14x2 + 17x + 4 = 0 Reorder the terms: 4 + 17x + 14x2 = 0 Solving 4 + 17x + 14x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.2857142857 + 1.214285714x + x2 = 0 Move the constant term to the right: Add '-0.2857142857' to each side of the equation. 0.2857142857 + 1.214285714x + -0.2857142857 + x2 = 0 + -0.2857142857 Reorder the terms: 0.2857142857 + -0.2857142857 + 1.214285714x + x2 = 0 + -0.2857142857 Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000 0.0000000000 + 1.214285714x + x2 = 0 + -0.2857142857 1.214285714x + x2 = 0 + -0.2857142857 Combine like terms: 0 + -0.2857142857 = -0.2857142857 1.214285714x + x2 = -0.2857142857 The x term is 1.214285714x. Take half its coefficient (0.607142857). Square it (0.3686224488) and add it to both sides. Add '0.3686224488' to each side of the equation. 1.214285714x + 0.3686224488 + x2 = -0.2857142857 + 0.3686224488 Reorder the terms: 0.3686224488 + 1.214285714x + x2 = -0.2857142857 + 0.3686224488 Combine like terms: -0.2857142857 + 0.3686224488 = 0.0829081631 0.3686224488 + 1.214285714x + x2 = 0.0829081631 Factor a perfect square on the left side: (x + 0.607142857)(x + 0.607142857) = 0.0829081631 Calculate the square root of the right side: 0.287937776 Break this problem into two subproblems by setting (x + 0.607142857) equal to 0.287937776 and -0.287937776.Subproblem 1
x + 0.607142857 = 0.287937776 Simplifying x + 0.607142857 = 0.287937776 Reorder the terms: 0.607142857 + x = 0.287937776 Solving 0.607142857 + x = 0.287937776 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.607142857' to each side of the equation. 0.607142857 + -0.607142857 + x = 0.287937776 + -0.607142857 Combine like terms: 0.607142857 + -0.607142857 = 0.000000000 0.000000000 + x = 0.287937776 + -0.607142857 x = 0.287937776 + -0.607142857 Combine like terms: 0.287937776 + -0.607142857 = -0.319205081 x = -0.319205081 Simplifying x = -0.319205081Subproblem 2
x + 0.607142857 = -0.287937776 Simplifying x + 0.607142857 = -0.287937776 Reorder the terms: 0.607142857 + x = -0.287937776 Solving 0.607142857 + x = -0.287937776 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.607142857' to each side of the equation. 0.607142857 + -0.607142857 + x = -0.287937776 + -0.607142857 Combine like terms: 0.607142857 + -0.607142857 = 0.000000000 0.000000000 + x = -0.287937776 + -0.607142857 x = -0.287937776 + -0.607142857 Combine like terms: -0.287937776 + -0.607142857 = -0.895080633 x = -0.895080633 Simplifying x = -0.895080633Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.319205081, -0.895080633}
| 14w+8=5w+20 | | 3ft^2-f-2=0 | | 6-x=68 | | 28m+24=35m+17 | | .5b+4=2(b+3) | | c=83.16ab | | 6q^2+24q=0 | | 5x+5=8x-43 | | x+(x*.25)=54 | | (2x-6y-2k)-(-7x-5y-4k)= | | (12-8)x(16+9)= | | 25x+16x=33 | | 18-8t=36 | | x+(x*25)=54 | | 20-7(3u+8)+(8u)=0 | | -3(3x-10)=-60 | | 49c^3-16c=0 | | q+12-2(q-22)= | | (4/5x)+(7/10)=(13/2x)+(1/5) | | 5n-15=11 | | 64w^3-1w=0 | | (-x/9)=(5/3) | | a^2-ab-42b^2= | | 2x-8=4x+14 | | -(6x-11)+x-4=0 | | (y+4)(y+8)=5 | | x^2-10+24=x | | (2/3)x=26 | | 9.25(w+10)=231.25 | | 3z-z=-z-5+4z | | 5i+6=2 | | 9/25=p/125 |