If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + -5)(x + 2) + -2(x + -1) = 15 Reorder the terms: (-5 + 2x)(x + 2) + -2(x + -1) = 15 Reorder the terms: (-5 + 2x)(2 + x) + -2(x + -1) = 15 Multiply (-5 + 2x) * (2 + x) (-5(2 + x) + 2x * (2 + x)) + -2(x + -1) = 15 ((2 * -5 + x * -5) + 2x * (2 + x)) + -2(x + -1) = 15 ((-10 + -5x) + 2x * (2 + x)) + -2(x + -1) = 15 (-10 + -5x + (2 * 2x + x * 2x)) + -2(x + -1) = 15 (-10 + -5x + (4x + 2x2)) + -2(x + -1) = 15 Combine like terms: -5x + 4x = -1x (-10 + -1x + 2x2) + -2(x + -1) = 15 Reorder the terms: -10 + -1x + 2x2 + -2(-1 + x) = 15 -10 + -1x + 2x2 + (-1 * -2 + x * -2) = 15 -10 + -1x + 2x2 + (2 + -2x) = 15 Reorder the terms: -10 + 2 + -1x + -2x + 2x2 = 15 Combine like terms: -10 + 2 = -8 -8 + -1x + -2x + 2x2 = 15 Combine like terms: -1x + -2x = -3x -8 + -3x + 2x2 = 15 Solving -8 + -3x + 2x2 = 15 Solving for variable 'x'. Reorder the terms: -8 + -15 + -3x + 2x2 = 15 + -15 Combine like terms: -8 + -15 = -23 -23 + -3x + 2x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -23 + -3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -11.5 + -1.5x + x2 = 0 Move the constant term to the right: Add '11.5' to each side of the equation. -11.5 + -1.5x + 11.5 + x2 = 0 + 11.5 Reorder the terms: -11.5 + 11.5 + -1.5x + x2 = 0 + 11.5 Combine like terms: -11.5 + 11.5 = 0.0 0.0 + -1.5x + x2 = 0 + 11.5 -1.5x + x2 = 0 + 11.5 Combine like terms: 0 + 11.5 = 11.5 -1.5x + x2 = 11.5 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = 11.5 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = 11.5 + 0.5625 Combine like terms: 11.5 + 0.5625 = 12.0625 0.5625 + -1.5x + x2 = 12.0625 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = 12.0625 Calculate the square root of the right side: 3.473110997 Break this problem into two subproblems by setting (x + -0.75) equal to 3.473110997 and -3.473110997.Subproblem 1
x + -0.75 = 3.473110997 Simplifying x + -0.75 = 3.473110997 Reorder the terms: -0.75 + x = 3.473110997 Solving -0.75 + x = 3.473110997 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = 3.473110997 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 3.473110997 + 0.75 x = 3.473110997 + 0.75 Combine like terms: 3.473110997 + 0.75 = 4.223110997 x = 4.223110997 Simplifying x = 4.223110997Subproblem 2
x + -0.75 = -3.473110997 Simplifying x + -0.75 = -3.473110997 Reorder the terms: -0.75 + x = -3.473110997 Solving -0.75 + x = -3.473110997 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = -3.473110997 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -3.473110997 + 0.75 x = -3.473110997 + 0.75 Combine like terms: -3.473110997 + 0.75 = -2.723110997 x = -2.723110997 Simplifying x = -2.723110997Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.223110997, -2.723110997}
| -6(4r+1)+3r=-4(-r+14) | | X2/3x | | -4(12u-20)+20=-20u-20-20u | | 35+5(5-3)+8=0 | | 1d+9=-12 | | 125+15w=245 | | -5(-4k-19)+10=-15k | | (5x-1)/7=-2 | | 8-8(-3n+20)=5n | | 20+20+19b=-7b+2(16b-19) | | 2(12-4a)+3a=6a+1 | | 4x^2+x=105 | | (3x-40)+(2x-10)=90 | | x(2x-3)=23 | | (7x6/3)x3-(2+3-4) | | -4(-6y-17)-11y=9(18y-9) | | (5x-1)7=-2 | | 5x=56+6 | | 20x=16x+15 | | y=-6/5(-4)+31/5 | | 6x+x/3+18 | | z/8=-26 | | (X-4)(2x+5)=o | | -1/8(n+6)=-1/9(n+2) | | (4z-10)+1z=90 | | (6x+10)/11=-4 | | 7/(4x-1)=2/(x+5) | | -6/5(-4)+31/5 | | 15=6a-24-9a | | 7-3x=1/4(8x-12) | | 2T=T-(84*.5) | | 6x^7/5-66=0 |