=(-9x+5)(-10x-6)

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Solution for =(-9x+5)(-10x-6) equation:


Simplifying
0 = (-9x + 5)(-10x + -6)

Reorder the terms:
0 = (5 + -9x)(-10x + -6)

Reorder the terms:
0 = (5 + -9x)(-6 + -10x)

Multiply (5 + -9x) * (-6 + -10x)
0 = (5(-6 + -10x) + -9x * (-6 + -10x))
0 = ((-6 * 5 + -10x * 5) + -9x * (-6 + -10x))
0 = ((-30 + -50x) + -9x * (-6 + -10x))
0 = (-30 + -50x + (-6 * -9x + -10x * -9x))
0 = (-30 + -50x + (54x + 90x2))

Combine like terms: -50x + 54x = 4x
0 = (-30 + 4x + 90x2)

Solving
0 = -30 + 4x + 90x2

Solving for variable 'x'.

Combine like terms: 0 + 30 = 30
30 + -4x + -90x2 = -30 + 4x + 90x2 + 30 + -4x + -90x2

Reorder the terms:
30 + -4x + -90x2 = -30 + 30 + 4x + -4x + 90x2 + -90x2

Combine like terms: -30 + 30 = 0
30 + -4x + -90x2 = 0 + 4x + -4x + 90x2 + -90x2
30 + -4x + -90x2 = 4x + -4x + 90x2 + -90x2

Combine like terms: 4x + -4x = 0
30 + -4x + -90x2 = 0 + 90x2 + -90x2
30 + -4x + -90x2 = 90x2 + -90x2

Combine like terms: 90x2 + -90x2 = 0
30 + -4x + -90x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -2x + -45x2) = 0

Factor a trinomial.
2((5 + -9x)(3 + 5x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 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 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556

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 = {0.5555555556, -0.6}

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