If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4x2) + -1(28x) + -3 = 0 Remove parenthesis around (28x) (4x2) + -1 * 28x + -3 = 0 Multiply -1 * 28 (4x2) + -28x + -3 = 0 Reorder the terms: -3 + -28x + (4x2) = 0 Solving -3 + -28x + (4x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.75 + -7x + x2 = 0 Move the constant term to the right: Add '0.75' to each side of the equation. -0.75 + -7x + 0.75 + x2 = 0 + 0.75 Reorder the terms: -0.75 + 0.75 + -7x + x2 = 0 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -7x + x2 = 0 + 0.75 -7x + x2 = 0 + 0.75 Combine like terms: 0 + 0.75 = 0.75 -7x + x2 = 0.75 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = 0.75 + 12.25 Reorder the terms: 12.25 + -7x + x2 = 0.75 + 12.25 Combine like terms: 0.75 + 12.25 = 13 12.25 + -7x + x2 = 13 Factor a perfect square on the left side: ((x) + -3.5)((x) + -3.5) = 13 Calculate the square root of the right side: 3.605551275 Break this problem into two subproblems by setting ((x) + -3.5) equal to 3.605551275 and -3.605551275.Subproblem 1
(x) + -3.5 = 3.605551275 Simplifying (x) + -3.5 = 3.605551275 x + -3.5 = 3.605551275 Reorder the terms: -3.5 + x = 3.605551275 Solving -3.5 + x = 3.605551275 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = 3.605551275 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = 3.605551275 + 3.5 x = 3.605551275 + 3.5 Combine like terms: 3.605551275 + 3.5 = 7.105551275 x = 7.105551275 Simplifying x = 7.105551275Subproblem 2
(x) + -3.5 = -3.605551275 Simplifying (x) + -3.5 = -3.605551275 x + -3.5 = -3.605551275 Reorder the terms: -3.5 + x = -3.605551275 Solving -3.5 + x = -3.605551275 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + 3.5 + x = -3.605551275 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x = -3.605551275 + 3.5 x = -3.605551275 + 3.5 Combine like terms: -3.605551275 + 3.5 = -0.105551275 x = -0.105551275 Simplifying x = -0.105551275Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.105551275, -0.105551275}
| -5z-4z=5z-2+7z | | -4n-4(-14n)=52 | | 42r-26-10r+7=85 | | -3-5=-7+x | | 2x^3+6x^2-20x=0 | | 3/4=f+1/2 | | 11+8r=29-r | | (5/4)d=20 | | -5z-4z=5z-2+7x | | 0.4=1.6 | | 54=-3(a-3) | | -2(4x+3)=-2(3x-7) | | 6.32=t-4.16 | | -3+4(3x-2)=-59 | | 14=(-7/8)x | | -2x+20+3x=32 | | .6666666667(x-3)+6=.16666666667(4x+24) | | -10p-2+9p=10 | | A-8+(a-8)7=26 | | -4m+1=0 | | 18-4=42 | | 5-8+(5-8)7=26 | | 6v^2+2=0 | | 3x^2+30x-78=0 | | -10r+4-2r=100 | | -6x+5=-4x+3 | | 4(4+3k)-2k=56 | | 4b^2+b+9=0 | | 7(-3m+5)=3(10-6m) | | 1/3(6p-12)=5 | | 65-10x=15x+85 | | -5+4r-2=-15 |