If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5(5 + 7x) = 8x(4x + 6) (5 * 0.5 + 7x * 0.5) = 8x(4x + 6) (2.5 + 3.5x) = 8x(4x + 6) Reorder the terms: 2.5 + 3.5x = 8x(6 + 4x) 2.5 + 3.5x = (6 * 8x + 4x * 8x) 2.5 + 3.5x = (48x + 32x2) Solving 2.5 + 3.5x = 48x + 32x2 Solving for variable 'x'. Combine like terms: 3.5x + -48x = -44.5x 2.5 + -44.5x + -32x2 = 48x + 32x2 + -48x + -32x2 Reorder the terms: 2.5 + -44.5x + -32x2 = 48x + -48x + 32x2 + -32x2 Combine like terms: 48x + -48x = 0 2.5 + -44.5x + -32x2 = 0 + 32x2 + -32x2 2.5 + -44.5x + -32x2 = 32x2 + -32x2 Combine like terms: 32x2 + -32x2 = 0 2.5 + -44.5x + -32x2 = 0 Begin completing the square. Divide all terms by -32 the coefficient of the squared term: Divide each side by '-32'. -0.078125 + 1.390625x + x2 = 0 Move the constant term to the right: Add '0.078125' to each side of the equation. -0.078125 + 1.390625x + 0.078125 + x2 = 0 + 0.078125 Reorder the terms: -0.078125 + 0.078125 + 1.390625x + x2 = 0 + 0.078125 Combine like terms: -0.078125 + 0.078125 = 0.000000 0.000000 + 1.390625x + x2 = 0 + 0.078125 1.390625x + x2 = 0 + 0.078125 Combine like terms: 0 + 0.078125 = 0.078125 1.390625x + x2 = 0.078125 The x term is 1.390625x. Take half its coefficient (0.6953125). Square it (0.4834594727) and add it to both sides. Add '0.4834594727' to each side of the equation. 1.390625x + 0.4834594727 + x2 = 0.078125 + 0.4834594727 Reorder the terms: 0.4834594727 + 1.390625x + x2 = 0.078125 + 0.4834594727 Combine like terms: 0.078125 + 0.4834594727 = 0.5615844727 0.4834594727 + 1.390625x + x2 = 0.5615844727 Factor a perfect square on the left side: (x + 0.6953125)(x + 0.6953125) = 0.5615844727 Calculate the square root of the right side: 0.7493894 Break this problem into two subproblems by setting (x + 0.6953125) equal to 0.7493894 and -0.7493894.Subproblem 1
x + 0.6953125 = 0.7493894 Simplifying x + 0.6953125 = 0.7493894 Reorder the terms: 0.6953125 + x = 0.7493894 Solving 0.6953125 + x = 0.7493894 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6953125' to each side of the equation. 0.6953125 + -0.6953125 + x = 0.7493894 + -0.6953125 Combine like terms: 0.6953125 + -0.6953125 = 0.0000000 0.0000000 + x = 0.7493894 + -0.6953125 x = 0.7493894 + -0.6953125 Combine like terms: 0.7493894 + -0.6953125 = 0.0540769 x = 0.0540769 Simplifying x = 0.0540769Subproblem 2
x + 0.6953125 = -0.7493894 Simplifying x + 0.6953125 = -0.7493894 Reorder the terms: 0.6953125 + x = -0.7493894 Solving 0.6953125 + x = -0.7493894 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6953125' to each side of the equation. 0.6953125 + -0.6953125 + x = -0.7493894 + -0.6953125 Combine like terms: 0.6953125 + -0.6953125 = 0.0000000 0.0000000 + x = -0.7493894 + -0.6953125 x = -0.7493894 + -0.6953125 Combine like terms: -0.7493894 + -0.6953125 = -1.4447019 x = -1.4447019 Simplifying x = -1.4447019Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.0540769, -1.4447019}
| 45=3y-9 | | 3n^2-22n=16 | | 4a^2+28a-72=0 | | 4+2x+2y-3=y | | 0.5(5+7)=8x(4x+6) | | 45=2y+5 | | 17/2-z/2=5z/2-2(5z/2-3/4) | | 3(4d+8)=3(d-1) | | 0.39x+2=9-0.2x | | 1.3y+6=10 | | -5-7=5x+7x-16 | | 5(2+4z)=75 | | -35=5a | | (X-3)(2x-3)=0 | | 3n^2+19n+26=0 | | 20y^2-11y-4=0 | | 2x-3+2x-3=2x+10 | | 4(2n+3)=9(5n+8)+7 | | 60=-15m | | 8(x+8)+7=35-x | | 3x-5=14x-27 | | 180+17d=350 | | 7x=90x | | X-4+2x+5=4x-8 | | 5x+8=9x-16 | | 2(x-9)-5=-23 | | 5(2c-4)=3(4c+4) | | 2a+8b=-8 | | 5xsquared-29x+20=0 | | Y-44=63 | | -8+14-19= | | -35=15a |