If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + 1)(x + 5) = 3 Reorder the terms: (1 + 2x)(x + 5) = 3 Reorder the terms: (1 + 2x)(5 + x) = 3 Multiply (1 + 2x) * (5 + x) (1(5 + x) + 2x * (5 + x)) = 3 ((5 * 1 + x * 1) + 2x * (5 + x)) = 3 ((5 + 1x) + 2x * (5 + x)) = 3 (5 + 1x + (5 * 2x + x * 2x)) = 3 (5 + 1x + (10x + 2x2)) = 3 Combine like terms: 1x + 10x = 11x (5 + 11x + 2x2) = 3 Solving 5 + 11x + 2x2 = 3 Solving for variable 'x'. Reorder the terms: 5 + -3 + 11x + 2x2 = 3 + -3 Combine like terms: 5 + -3 = 2 2 + 11x + 2x2 = 3 + -3 Combine like terms: 3 + -3 = 0 2 + 11x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1 + 5.5x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 5.5x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 5.5x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5.5x + x2 = 0 + -1 5.5x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 5.5x + x2 = -1 The x term is 5.5x. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5x + 7.5625 + x2 = -1 + 7.5625 Reorder the terms: 7.5625 + 5.5x + x2 = -1 + 7.5625 Combine like terms: -1 + 7.5625 = 6.5625 7.5625 + 5.5x + x2 = 6.5625 Factor a perfect square on the left side: (x + 2.75)(x + 2.75) = 6.5625 Calculate the square root of the right side: 2.561737691 Break this problem into two subproblems by setting (x + 2.75) equal to 2.561737691 and -2.561737691.Subproblem 1
x + 2.75 = 2.561737691 Simplifying x + 2.75 = 2.561737691 Reorder the terms: 2.75 + x = 2.561737691 Solving 2.75 + x = 2.561737691 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + x = 2.561737691 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + x = 2.561737691 + -2.75 x = 2.561737691 + -2.75 Combine like terms: 2.561737691 + -2.75 = -0.188262309 x = -0.188262309 Simplifying x = -0.188262309Subproblem 2
x + 2.75 = -2.561737691 Simplifying x + 2.75 = -2.561737691 Reorder the terms: 2.75 + x = -2.561737691 Solving 2.75 + x = -2.561737691 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + x = -2.561737691 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + x = -2.561737691 + -2.75 x = -2.561737691 + -2.75 Combine like terms: -2.561737691 + -2.75 = -5.311737691 x = -5.311737691 Simplifying x = -5.311737691Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.188262309, -5.311737691}
| 2t=-1 | | -11-x+5x=x-1-1 | | -95-9x=175+-6x | | 29-19=3(y-6) | | 2/5(9-2b)=-14 | | 8y+2=y-15 | | -9x+14=4x-12 | | -16y-20=-14y+40 | | 5(p)-14=8(p)+4 | | (7y-4)+(7x+9)=180 | | 3(x-2)+12=-6 | | 18x-14x+x-3x+3x=5 | | 4(x-4)+4-10x=30 | | 4(m)-4=4(m) | | -14=7(4-2u) | | -4-2x=6(-x+9) | | 3(k-5)=9 | | -8n-4=2+n-6-8n | | 4x+200=324 | | x^2+4x-544=0 | | 3x+29x-10=0 | | 3x+(-6)=-3 | | 4r+360=10d+6r | | -4p-4=-23 | | .66x+60=x | | -6x=45+3x | | 3x^2-34-24=0 | | 2x+6*5=2y | | 8(x)-2=-9+7(x) | | 15*-3+4y=9 | | 5n^2-24n+16=0 | | 4(9+3t)=-12 |