=(-20x-12)(-19x-15)

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Solution for =(-20x-12)(-19x-15) equation:


Simplifying
0 = (-20x + -12)(-19x + -15)

Reorder the terms:
0 = (-12 + -20x)(-19x + -15)

Reorder the terms:
0 = (-12 + -20x)(-15 + -19x)

Multiply (-12 + -20x) * (-15 + -19x)
0 = (-12(-15 + -19x) + -20x * (-15 + -19x))
0 = ((-15 * -12 + -19x * -12) + -20x * (-15 + -19x))
0 = ((180 + 228x) + -20x * (-15 + -19x))
0 = (180 + 228x + (-15 * -20x + -19x * -20x))
0 = (180 + 228x + (300x + 380x2))

Combine like terms: 228x + 300x = 528x
0 = (180 + 528x + 380x2)

Solving
0 = 180 + 528x + 380x2

Solving for variable 'x'.

Combine like terms: 0 + -180 = -180
-180 + -528x + -380x2 = 180 + 528x + 380x2 + -180 + -528x + -380x2

Reorder the terms:
-180 + -528x + -380x2 = 180 + -180 + 528x + -528x + 380x2 + -380x2

Combine like terms: 180 + -180 = 0
-180 + -528x + -380x2 = 0 + 528x + -528x + 380x2 + -380x2
-180 + -528x + -380x2 = 528x + -528x + 380x2 + -380x2

Combine like terms: 528x + -528x = 0
-180 + -528x + -380x2 = 0 + 380x2 + -380x2
-180 + -528x + -380x2 = 380x2 + -380x2

Combine like terms: 380x2 + -380x2 = 0
-180 + -528x + -380x2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(45 + 132x + 95x2) = 0

Factor a trinomial.
-4((15 + 19x)(3 + 5x)) = 0

Ignore the factor -4.

Subproblem 1

Set the factor '(15 + 19x)' equal to zero and attempt to solve: Simplifying 15 + 19x = 0 Solving 15 + 19x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 19x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 19x = 0 + -15 19x = 0 + -15 Combine like terms: 0 + -15 = -15 19x = -15 Divide each side by '19'. x = -0.7894736842 Simplifying x = -0.7894736842

Subproblem 2

Set the factor '(3 + 5x)' equal to zero and attempt to solve: Simplifying 3 + 5x = 0 Solving 3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 0 + -3 5x = 0 + -3 Combine like terms: 0 + -3 = -3 5x = -3 Divide each side by '5'. x = -0.6 Simplifying x = -0.6

Solution

x = {-0.7894736842, -0.6}

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