If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10x(2x + 4) + -13 = 8(x + 7) + -3 Reorder the terms: 10x(4 + 2x) + -13 = 8(x + 7) + -3 (4 * 10x + 2x * 10x) + -13 = 8(x + 7) + -3 (40x + 20x2) + -13 = 8(x + 7) + -3 Reorder the terms: -13 + 40x + 20x2 = 8(x + 7) + -3 Reorder the terms: -13 + 40x + 20x2 = 8(7 + x) + -3 -13 + 40x + 20x2 = (7 * 8 + x * 8) + -3 -13 + 40x + 20x2 = (56 + 8x) + -3 Reorder the terms: -13 + 40x + 20x2 = 56 + -3 + 8x Combine like terms: 56 + -3 = 53 -13 + 40x + 20x2 = 53 + 8x Solving -13 + 40x + 20x2 = 53 + 8x Solving for variable 'x'. Reorder the terms: -13 + -53 + 40x + -8x + 20x2 = 53 + 8x + -53 + -8x Combine like terms: -13 + -53 = -66 -66 + 40x + -8x + 20x2 = 53 + 8x + -53 + -8x Combine like terms: 40x + -8x = 32x -66 + 32x + 20x2 = 53 + 8x + -53 + -8x Reorder the terms: -66 + 32x + 20x2 = 53 + -53 + 8x + -8x Combine like terms: 53 + -53 = 0 -66 + 32x + 20x2 = 0 + 8x + -8x -66 + 32x + 20x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -66 + 32x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-33 + 16x + 10x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-33 + 16x + 10x2)' equal to zero and attempt to solve: Simplifying -33 + 16x + 10x2 = 0 Solving -33 + 16x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. -3.3 + 1.6x + x2 = 0.0 Move the constant term to the right: Add '3.3' to each side of the equation. -3.3 + 1.6x + 3.3 + x2 = 0.0 + 3.3 Reorder the terms: -3.3 + 3.3 + 1.6x + x2 = 0.0 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + 1.6x + x2 = 0.0 + 3.3 1.6x + x2 = 0.0 + 3.3 Combine like terms: 0.0 + 3.3 = 3.3 1.6x + x2 = 3.3 The x term is 1.6x. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6x + 0.64 + x2 = 3.3 + 0.64 Reorder the terms: 0.64 + 1.6x + x2 = 3.3 + 0.64 Combine like terms: 3.3 + 0.64 = 3.94 0.64 + 1.6x + x2 = 3.94 Factor a perfect square on the left side: (x + 0.8)(x + 0.8) = 3.94 Calculate the square root of the right side: 1.984943324 Break this problem into two subproblems by setting (x + 0.8) equal to 1.984943324 and -1.984943324.Subproblem 1
x + 0.8 = 1.984943324 Simplifying x + 0.8 = 1.984943324 Reorder the terms: 0.8 + x = 1.984943324 Solving 0.8 + x = 1.984943324 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + x = 1.984943324 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + x = 1.984943324 + -0.8 x = 1.984943324 + -0.8 Combine like terms: 1.984943324 + -0.8 = 1.184943324 x = 1.184943324 Simplifying x = 1.184943324Subproblem 2
x + 0.8 = -1.984943324 Simplifying x + 0.8 = -1.984943324 Reorder the terms: 0.8 + x = -1.984943324 Solving 0.8 + x = -1.984943324 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + x = -1.984943324 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + x = -1.984943324 + -0.8 x = -1.984943324 + -0.8 Combine like terms: -1.984943324 + -0.8 = -2.784943324 x = -2.784943324 Simplifying x = -2.784943324Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.184943324, -2.784943324}Solution
x = {1.184943324, -2.784943324}
| d^2-9d+20=0 | | x-8.1=-3.6 | | 4x-2/5=10 | | 6y+19=3y-2 | | t+37=14 | | -6x+3-2x=3-8x | | x=1(2/3)+5 | | 6h^2-7hj-3j^2=0 | | 55.4=(x)/(3.9-x) | | 7(t-3)+7t=7(2t+4)-12 | | 5+w+5+w+w+w=168 | | -11(-5-4x)=-x+10(5+4x) | | 1/6=(3/10)x | | -2(5s-6)-12=-2(9s+10)-3 | | .40x+.05(10-x)=.10(33) | | (5/4)+(1/8)x=(3/8)+x | | 8y^-3/2y^-7 | | F=4/5(n-15) | | 4/5(n-15) | | 5/4(n-15) | | 6y+3=5y-2 | | 20p-30y+27=14 | | 7/90=N/180 | | 3/4k-(k+1/5)=1/20(k+4) | | 5(-5n-1)=-10(-4n+7) | | 20p-30yp+27=14 | | 17yp-16y+23=5 | | -5/9-1/4 | | 27+1x=87 | | -3-42r=-6(1+7r)-7 | | 16-20x=56+5x | | 36/3x-12+1/x-4=13/3 |