If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4x + -5)(2x + -5) = 105 Reorder the terms: (-5 + 4x)(2x + -5) = 105 Reorder the terms: (-5 + 4x)(-5 + 2x) = 105 Multiply (-5 + 4x) * (-5 + 2x) (-5(-5 + 2x) + 4x * (-5 + 2x)) = 105 ((-5 * -5 + 2x * -5) + 4x * (-5 + 2x)) = 105 ((25 + -10x) + 4x * (-5 + 2x)) = 105 (25 + -10x + (-5 * 4x + 2x * 4x)) = 105 (25 + -10x + (-20x + 8x2)) = 105 Combine like terms: -10x + -20x = -30x (25 + -30x + 8x2) = 105 Solving 25 + -30x + 8x2 = 105 Solving for variable 'x'. Reorder the terms: 25 + -105 + -30x + 8x2 = 105 + -105 Combine like terms: 25 + -105 = -80 -80 + -30x + 8x2 = 105 + -105 Combine like terms: 105 + -105 = 0 -80 + -30x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + -15x + 4x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-40 + -15x + 4x2)' equal to zero and attempt to solve: Simplifying -40 + -15x + 4x2 = 0 Solving -40 + -15x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -10 + -3.75x + x2 = 0 Move the constant term to the right: Add '10' to each side of the equation. -10 + -3.75x + 10 + x2 = 0 + 10 Reorder the terms: -10 + 10 + -3.75x + x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3.75x + x2 = 0 + 10 -3.75x + x2 = 0 + 10 Combine like terms: 0 + 10 = 10 -3.75x + x2 = 10 The x term is -3.75x. Take half its coefficient (-1.875). Square it (3.515625) and add it to both sides. Add '3.515625' to each side of the equation. -3.75x + 3.515625 + x2 = 10 + 3.515625 Reorder the terms: 3.515625 + -3.75x + x2 = 10 + 3.515625 Combine like terms: 10 + 3.515625 = 13.515625 3.515625 + -3.75x + x2 = 13.515625 Factor a perfect square on the left side: (x + -1.875)(x + -1.875) = 13.515625 Calculate the square root of the right side: 3.676360292 Break this problem into two subproblems by setting (x + -1.875) equal to 3.676360292 and -3.676360292.Subproblem 1
x + -1.875 = 3.676360292 Simplifying x + -1.875 = 3.676360292 Reorder the terms: -1.875 + x = 3.676360292 Solving -1.875 + x = 3.676360292 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.875' to each side of the equation. -1.875 + 1.875 + x = 3.676360292 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + x = 3.676360292 + 1.875 x = 3.676360292 + 1.875 Combine like terms: 3.676360292 + 1.875 = 5.551360292 x = 5.551360292 Simplifying x = 5.551360292Subproblem 2
x + -1.875 = -3.676360292 Simplifying x + -1.875 = -3.676360292 Reorder the terms: -1.875 + x = -3.676360292 Solving -1.875 + x = -3.676360292 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.875' to each side of the equation. -1.875 + 1.875 + x = -3.676360292 + 1.875 Combine like terms: -1.875 + 1.875 = 0.000 0.000 + x = -3.676360292 + 1.875 x = -3.676360292 + 1.875 Combine like terms: -3.676360292 + 1.875 = -1.801360292 x = -1.801360292 Simplifying x = -1.801360292Solution
The solution to the problem is based on the solutions from the subproblems. x = {5.551360292, -1.801360292}Solution
x = {5.551360292, -1.801360292}
| h(x)=9x/(6x-11) | | 7a+2=26+3a | | 2ab+5ba+3ab= | | cx^2-(a^2+b^2)x+ab=o | | 2-4ln(x)=7 | | 2.2=6.1+y | | 0.65x+0.05(12-x)=0.10(-90) | | .065x+0.05(12-x)=0.10(-90) | | 88x^4/121x | | 6-3(4x-6)=-6 | | ln(x/y)-ln(10) | | ln(x/10*y) | | 2+7a=65 | | 5x-4=5(x-9) | | -4(x+8)=-44 | | p=a+3+c | | 5(w-4)=25 | | 4.1y=20.5 | | 10y-5=5y+5 | | 5b-6=8b | | 9x-9=40 | | -6x-14x=40 | | 5c-8c=21 | | 7a+2=26+39 | | 8x+9=2+6x+4 | | x-3y+3=0 | | 10+6x=-5x+21 | | -5x+2=5x+22 | | -5+7x=4x-8 | | -x+2=42-5x | | 3x^2-4x-319=0 | | -25x^2+36y^2=900 |