If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + 4)(7x + -6) = 5 Reorder the terms: (4 + 2x)(7x + -6) = 5 Reorder the terms: (4 + 2x)(-6 + 7x) = 5 Multiply (4 + 2x) * (-6 + 7x) (4(-6 + 7x) + 2x * (-6 + 7x)) = 5 ((-6 * 4 + 7x * 4) + 2x * (-6 + 7x)) = 5 ((-24 + 28x) + 2x * (-6 + 7x)) = 5 (-24 + 28x + (-6 * 2x + 7x * 2x)) = 5 (-24 + 28x + (-12x + 14x2)) = 5 Combine like terms: 28x + -12x = 16x (-24 + 16x + 14x2) = 5 Solving -24 + 16x + 14x2 = 5 Solving for variable 'x'. Reorder the terms: -24 + -5 + 16x + 14x2 = 5 + -5 Combine like terms: -24 + -5 = -29 -29 + 16x + 14x2 = 5 + -5 Combine like terms: 5 + -5 = 0 -29 + 16x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. -2.071428571 + 1.142857143x + x2 = 0 Move the constant term to the right: Add '2.071428571' to each side of the equation. -2.071428571 + 1.142857143x + 2.071428571 + x2 = 0 + 2.071428571 Reorder the terms: -2.071428571 + 2.071428571 + 1.142857143x + x2 = 0 + 2.071428571 Combine like terms: -2.071428571 + 2.071428571 = 0.000000000 0.000000000 + 1.142857143x + x2 = 0 + 2.071428571 1.142857143x + x2 = 0 + 2.071428571 Combine like terms: 0 + 2.071428571 = 2.071428571 1.142857143x + x2 = 2.071428571 The x term is 1.142857143x. Take half its coefficient (0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. 1.142857143x + 0.3265306123 + x2 = 2.071428571 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143x + x2 = 2.071428571 + 0.3265306123 Combine like terms: 2.071428571 + 0.3265306123 = 2.3979591833 0.3265306123 + 1.142857143x + x2 = 2.3979591833 Factor a perfect square on the left side: (x + 0.5714285715)(x + 0.5714285715) = 2.3979591833 Calculate the square root of the right side: 1.548534528 Break this problem into two subproblems by setting (x + 0.5714285715) equal to 1.548534528 and -1.548534528.Subproblem 1
x + 0.5714285715 = 1.548534528 Simplifying x + 0.5714285715 = 1.548534528 Reorder the terms: 0.5714285715 + x = 1.548534528 Solving 0.5714285715 + x = 1.548534528 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5714285715' to each side of the equation. 0.5714285715 + -0.5714285715 + x = 1.548534528 + -0.5714285715 Combine like terms: 0.5714285715 + -0.5714285715 = 0.0000000000 0.0000000000 + x = 1.548534528 + -0.5714285715 x = 1.548534528 + -0.5714285715 Combine like terms: 1.548534528 + -0.5714285715 = 0.9771059565 x = 0.9771059565 Simplifying x = 0.9771059565Subproblem 2
x + 0.5714285715 = -1.548534528 Simplifying x + 0.5714285715 = -1.548534528 Reorder the terms: 0.5714285715 + x = -1.548534528 Solving 0.5714285715 + x = -1.548534528 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5714285715' to each side of the equation. 0.5714285715 + -0.5714285715 + x = -1.548534528 + -0.5714285715 Combine like terms: 0.5714285715 + -0.5714285715 = 0.0000000000 0.0000000000 + x = -1.548534528 + -0.5714285715 x = -1.548534528 + -0.5714285715 Combine like terms: -1.548534528 + -0.5714285715 = -2.1199630995 x = -2.1199630995 Simplifying x = -2.1199630995Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.9771059565, -2.1199630995}
| 7x-3+4x+5= | | 3x+43=7x+11 | | 2x^2*5x=4 | | (2x+1)(3x-4)= | | 9x^2+19x-24=0 | | 3y+8=y | | (8x-3)=(4x-6) | | 5x-30=30 | | x+4=37 | | -k-7=-5k-6 | | 120-3x=15+24 | | 4(y+7)+12=0 | | 11+6.23X=7+5.51X | | n-24=-12 | | x*3=4 | | -3(x+1)= | | (5-0.25x)+1=4 | | 3(2x+5)=2(3x+4) | | 10-10x=67-31x | | -93-10x=9x-21 | | X-4.1=-15.6 | | 4(2x+1)= | | 8x^2+22x=21 | | 3(x+14)+4(10-x)=0 | | (4x+1)+3=4 | | x-11=7x-8 | | 2w^2-w+78=0 | | X-2(3x-8)=0 | | 282-3x=42x+22 | | 60-3x=20+33x | | -1-3t=9-8t | | 9-10x=105-31x |