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)(3x + -7) + 2(4x + 9)(5x + 6) = 0 Reorder the terms: (5 + 2x)(3x + -7) + 2(4x + 9)(5x + 6) = 0 Reorder the terms: (5 + 2x)(-7 + 3x) + 2(4x + 9)(5x + 6) = 0 Multiply (5 + 2x) * (-7 + 3x) (5(-7 + 3x) + 2x * (-7 + 3x)) + 2(4x + 9)(5x + 6) = 0 ((-7 * 5 + 3x * 5) + 2x * (-7 + 3x)) + 2(4x + 9)(5x + 6) = 0 ((-35 + 15x) + 2x * (-7 + 3x)) + 2(4x + 9)(5x + 6) = 0 (-35 + 15x + (-7 * 2x + 3x * 2x)) + 2(4x + 9)(5x + 6) = 0 (-35 + 15x + (-14x + 6x2)) + 2(4x + 9)(5x + 6) = 0 Combine like terms: 15x + -14x = 1x (-35 + 1x + 6x2) + 2(4x + 9)(5x + 6) = 0 Reorder the terms: -35 + 1x + 6x2 + 2(9 + 4x)(5x + 6) = 0 Reorder the terms: -35 + 1x + 6x2 + 2(9 + 4x)(6 + 5x) = 0 Multiply (9 + 4x) * (6 + 5x) -35 + 1x + 6x2 + 2(9(6 + 5x) + 4x * (6 + 5x)) = 0 -35 + 1x + 6x2 + 2((6 * 9 + 5x * 9) + 4x * (6 + 5x)) = 0 -35 + 1x + 6x2 + 2((54 + 45x) + 4x * (6 + 5x)) = 0 -35 + 1x + 6x2 + 2(54 + 45x + (6 * 4x + 5x * 4x)) = 0 -35 + 1x + 6x2 + 2(54 + 45x + (24x + 20x2)) = 0 Combine like terms: 45x + 24x = 69x -35 + 1x + 6x2 + 2(54 + 69x + 20x2) = 0 -35 + 1x + 6x2 + (54 * 2 + 69x * 2 + 20x2 * 2) = 0 -35 + 1x + 6x2 + (108 + 138x + 40x2) = 0 Reorder the terms: -35 + 108 + 1x + 138x + 6x2 + 40x2 = 0 Combine like terms: -35 + 108 = 73 73 + 1x + 138x + 6x2 + 40x2 = 0 Combine like terms: 1x + 138x = 139x 73 + 139x + 6x2 + 40x2 = 0 Combine like terms: 6x2 + 40x2 = 46x2 73 + 139x + 46x2 = 0 Solving 73 + 139x + 46x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 46 the coefficient of the squared term: Divide each side by '46'. 1.586956522 + 3.02173913x + x2 = 0 Move the constant term to the right: Add '-1.586956522' to each side of the equation. 1.586956522 + 3.02173913x + -1.586956522 + x2 = 0 + -1.586956522 Reorder the terms: 1.586956522 + -1.586956522 + 3.02173913x + x2 = 0 + -1.586956522 Combine like terms: 1.586956522 + -1.586956522 = 0.000000000 0.000000000 + 3.02173913x + x2 = 0 + -1.586956522 3.02173913x + x2 = 0 + -1.586956522 Combine like terms: 0 + -1.586956522 = -1.586956522 3.02173913x + x2 = -1.586956522 The x term is 3.02173913x. Take half its coefficient (1.510869565). Square it (2.282726842) and add it to both sides. Add '2.282726842' to each side of the equation. 3.02173913x + 2.282726842 + x2 = -1.586956522 + 2.282726842 Reorder the terms: 2.282726842 + 3.02173913x + x2 = -1.586956522 + 2.282726842 Combine like terms: -1.586956522 + 2.282726842 = 0.69577032 2.282726842 + 3.02173913x + x2 = 0.69577032 Factor a perfect square on the left side: (x + 1.510869565)(x + 1.510869565) = 0.69577032 Calculate the square root of the right side: 0.834128479 Break this problem into two subproblems by setting (x + 1.510869565) equal to 0.834128479 and -0.834128479.Subproblem 1
x + 1.510869565 = 0.834128479 Simplifying x + 1.510869565 = 0.834128479 Reorder the terms: 1.510869565 + x = 0.834128479 Solving 1.510869565 + x = 0.834128479 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.510869565' to each side of the equation. 1.510869565 + -1.510869565 + x = 0.834128479 + -1.510869565 Combine like terms: 1.510869565 + -1.510869565 = 0.000000000 0.000000000 + x = 0.834128479 + -1.510869565 x = 0.834128479 + -1.510869565 Combine like terms: 0.834128479 + -1.510869565 = -0.676741086 x = -0.676741086 Simplifying x = -0.676741086Subproblem 2
x + 1.510869565 = -0.834128479 Simplifying x + 1.510869565 = -0.834128479 Reorder the terms: 1.510869565 + x = -0.834128479 Solving 1.510869565 + x = -0.834128479 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.510869565' to each side of the equation. 1.510869565 + -1.510869565 + x = -0.834128479 + -1.510869565 Combine like terms: 1.510869565 + -1.510869565 = 0.000000000 0.000000000 + x = -0.834128479 + -1.510869565 x = -0.834128479 + -1.510869565 Combine like terms: -0.834128479 + -1.510869565 = -2.344998044 x = -2.344998044 Simplifying x = -2.344998044Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.676741086, -2.344998044}
| -12=-6(2-8x)+8(-7-7x) | | 15z=285 | | v/y-2.6=13.8 | | 8a=a^2-9 | | 5x+17=-9x+108+24x | | 12y-8y=36 | | 6(x-3)-8x=-32 | | -8+16x=-2(8-12x) | | 1halfn=-9 | | 0.5a-0.5=-6 | | 13x-168=6x-14 | | 7+y-4=10 | | 4(2x+1)-3(1-4)=-9 | | v-v+v=18 | | -6=-2+w | | 4-3*5+12= | | j+j+5+j+2=45 | | 3v-16=8 | | 23x+21=90 | | 10x-2=12x-16 | | 24=-4(1+8x)+4(1+2x) | | 1/2n=-9 | | 7x+3=-8+5x+23 | | An=-5n-11 | | x+5=-2x+20 | | 1/2k=-30 | | 24=4(1+8x)+4(3-3a) | | 11x-131=5x-5 | | 1996+46x=3200 | | 1996+46=3200 | | 2t=t+47 | | -12x+14=8x-456 |