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Simplifying (4x + 5)(7x + -1) = 0 Reorder the terms: (5 + 4x)(7x + -1) = 0 Reorder the terms: (5 + 4x)(-1 + 7x) = 0 Multiply (5 + 4x) * (-1 + 7x) (5(-1 + 7x) + 4x * (-1 + 7x)) = 0 ((-1 * 5 + 7x * 5) + 4x * (-1 + 7x)) = 0 ((-5 + 35x) + 4x * (-1 + 7x)) = 0 (-5 + 35x + (-1 * 4x + 7x * 4x)) = 0 (-5 + 35x + (-4x + 28x2)) = 0 Combine like terms: 35x + -4x = 31x (-5 + 31x + 28x2) = 0 Solving -5 + 31x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x)(1 + -7x) = 0Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(1 + -7x)' equal to zero and attempt to solve: Simplifying 1 + -7x = 0 Solving 1 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 0 + -1 -7x = 0 + -1 Combine like terms: 0 + -1 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429Solution
x = {-1.25, 0.1428571429}
| 8x-5y=3fory | | 17=u/2-16 | | 39+15x=17x | | 14=-4+k | | 3(-3.3)+2y=10 | | -w-10=9w+10 | | 4(2x-3)=2x+6 | | 5b-2=17 | | 8(5x-2)+3(4-6)-2x=3-(2-x)+4(x-1) | | -3.10(r-.5)=-.258 | | p-8.95=1.8 | | 4-3t=12 | | 15.83=1.83+1.75*n | | 4q-2=4+5q | | 0.09x^3+0.01x^2+0.02x-0.02x^3+0.05x^2-0.00x= | | 8j=7j-1 | | 7y=4+8y | | 7x-2=-2x-39 | | m/4-6=-7 | | 2/7x-4-9/7 | | -6r=10-5r | | .72*v=4.6703703703703 | | .72*v=4.7 | | .72v=1261/270 | | -25/12= | | 17+x=84 | | 40=-5(2x+4) | | 1261/270=.72*x | | x/4=10 | | 2x-5x+8=2x-7+3x+12 | | 0.00x+0.02x= | | 1261/270=.72x |