If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (5x + -2)(5x + -2) = 17 Reorder the terms: (-2 + 5x)(5x + -2) = 17 Reorder the terms: (-2 + 5x)(-2 + 5x) = 17 Multiply (-2 + 5x) * (-2 + 5x) (-2(-2 + 5x) + 5x * (-2 + 5x)) = 17 ((-2 * -2 + 5x * -2) + 5x * (-2 + 5x)) = 17 ((4 + -10x) + 5x * (-2 + 5x)) = 17 (4 + -10x + (-2 * 5x + 5x * 5x)) = 17 (4 + -10x + (-10x + 25x2)) = 17 Combine like terms: -10x + -10x = -20x (4 + -20x + 25x2) = 17 Solving 4 + -20x + 25x2 = 17 Solving for variable 'x'. Reorder the terms: 4 + -17 + -20x + 25x2 = 17 + -17 Combine like terms: 4 + -17 = -13 -13 + -20x + 25x2 = 17 + -17 Combine like terms: 17 + -17 = 0 -13 + -20x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. -0.52 + -0.8x + x2 = 0 Move the constant term to the right: Add '0.52' to each side of the equation. -0.52 + -0.8x + 0.52 + x2 = 0 + 0.52 Reorder the terms: -0.52 + 0.52 + -0.8x + x2 = 0 + 0.52 Combine like terms: -0.52 + 0.52 = 0.00 0.00 + -0.8x + x2 = 0 + 0.52 -0.8x + x2 = 0 + 0.52 Combine like terms: 0 + 0.52 = 0.52 -0.8x + x2 = 0.52 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = 0.52 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = 0.52 + 0.16 Combine like terms: 0.52 + 0.16 = 0.68 0.16 + -0.8x + x2 = 0.68 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = 0.68 Calculate the square root of the right side: 0.824621125 Break this problem into two subproblems by setting (x + -0.4) equal to 0.824621125 and -0.824621125.Subproblem 1
x + -0.4 = 0.824621125 Simplifying x + -0.4 = 0.824621125 Reorder the terms: -0.4 + x = 0.824621125 Solving -0.4 + x = 0.824621125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + x = 0.824621125 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + x = 0.824621125 + 0.4 x = 0.824621125 + 0.4 Combine like terms: 0.824621125 + 0.4 = 1.224621125 x = 1.224621125 Simplifying x = 1.224621125Subproblem 2
x + -0.4 = -0.824621125 Simplifying x + -0.4 = -0.824621125 Reorder the terms: -0.4 + x = -0.824621125 Solving -0.4 + x = -0.824621125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + x = -0.824621125 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + x = -0.824621125 + 0.4 x = -0.824621125 + 0.4 Combine like terms: -0.824621125 + 0.4 = -0.424621125 x = -0.424621125 Simplifying x = -0.424621125Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.224621125, -0.424621125}
| 2n+3=5n-2 | | 11x+9=6x+9 | | 3x-60=2x-10 | | 5-7x=4+7x | | 245x^2-119x-212=-2 | | (4x)5-8=72 | | 3r^2-20r+26=-26 | | 24m^2-126m-111=-3 | | 26x+15=31x-10 | | -4b+4+2b=3b-16 | | 2k^2+13k+15=0 | | 2(4x+3)=46 | | 1000(4563y+344-8)=234 | | 3p^2-33p=0 | | 15-19=20 | | 9x+27=99 | | y=7x^2-18+20 | | 6*[(6*2.3)+3.9]= | | -10+7(a+3)=4(2a-1)+5 | | (x-4)-(x-7)=8x | | 49x^2-70x+16=0 | | 40x^2+11x-21=0 | | 2(2x-3)=18 | | x+(x+1)=3x | | 19x-13x=12 | | 5(x-3)-2(2x+4)=2(x-2) | | x^3+42x^2+3x=0 | | r^2-10=-22 | | 20=0.16-1.28 | | 4x+20=2x+12 | | b-4=8 | | 3x+(x+-1)=23 |