If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + -7)(2x + 1) = 3 Reorder the terms: (-7 + 2x)(2x + 1) = 3 Reorder the terms: (-7 + 2x)(1 + 2x) = 3 Multiply (-7 + 2x) * (1 + 2x) (-7(1 + 2x) + 2x * (1 + 2x)) = 3 ((1 * -7 + 2x * -7) + 2x * (1 + 2x)) = 3 ((-7 + -14x) + 2x * (1 + 2x)) = 3 (-7 + -14x + (1 * 2x + 2x * 2x)) = 3 (-7 + -14x + (2x + 4x2)) = 3 Combine like terms: -14x + 2x = -12x (-7 + -12x + 4x2) = 3 Solving -7 + -12x + 4x2 = 3 Solving for variable 'x'. Reorder the terms: -7 + -3 + -12x + 4x2 = 3 + -3 Combine like terms: -7 + -3 = -10 -10 + -12x + 4x2 = 3 + -3 Combine like terms: 3 + -3 = 0 -10 + -12x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -6x + 2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -6x + 2x2)' equal to zero and attempt to solve: Simplifying -5 + -6x + 2x2 = 0 Solving -5 + -6x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -2.5 + -3x + x2 = 0 Move the constant term to the right: Add '2.5' to each side of the equation. -2.5 + -3x + 2.5 + x2 = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + -3x + x2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -3x + x2 = 0 + 2.5 -3x + x2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 -3x + x2 = 2.5 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = 2.5 + 2.25 Reorder the terms: 2.25 + -3x + x2 = 2.5 + 2.25 Combine like terms: 2.5 + 2.25 = 4.75 2.25 + -3x + x2 = 4.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = 4.75 Calculate the square root of the right side: 2.179449472 Break this problem into two subproblems by setting (x + -1.5) equal to 2.179449472 and -2.179449472.Subproblem 1
x + -1.5 = 2.179449472 Simplifying x + -1.5 = 2.179449472 Reorder the terms: -1.5 + x = 2.179449472 Solving -1.5 + x = 2.179449472 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 2.179449472 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 2.179449472 + 1.5 x = 2.179449472 + 1.5 Combine like terms: 2.179449472 + 1.5 = 3.679449472 x = 3.679449472 Simplifying x = 3.679449472Subproblem 2
x + -1.5 = -2.179449472 Simplifying x + -1.5 = -2.179449472 Reorder the terms: -1.5 + x = -2.179449472 Solving -1.5 + x = -2.179449472 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -2.179449472 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -2.179449472 + 1.5 x = -2.179449472 + 1.5 Combine like terms: -2.179449472 + 1.5 = -0.679449472 x = -0.679449472 Simplifying x = -0.679449472Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.679449472, -0.679449472}Solution
x = {3.679449472, -0.679449472}
| 1-3x=0.4 | | 3x+5y=393 | | X=11.25-.13x | | 40X+8(1.5x)=450 | | 5x+4=10x-10 | | 3+3x=-3-3x | | sinx-sin^2x= | | ln(3x-2)+ln(x+1)=ln(14x+8) | | 8a+12ab-4b=0 | | a+b+c=abc | | 4x+14=68 | | -9x-9x=-180 | | -2=1/2x-5 | | log(x)=-0.5 | | (x-5)-(x^2+6x+9)= | | 5x^(1/2)=100 | | 10cos^2x+6cosx-5=0 | | 16=6+n | | y^2-5y+14=z | | lgx=-4 | | 3(5c-1)+9=(6c+1)(6c+1) | | (11x+6)=(19x+11) | | 9x=6x-1 | | 9x-6x=6x-1 | | P=2Q^2+21Q+125 | | x=y+-3 | | -6(9x+5)-3x+4x=408+4 | | -x^3+18x^2-25x=0 | | 4/.125 | | Dy-y=5.2 | | 4x+2y=2x+3y | | 2x+4x=5x+23 |