98=(x+10)(3x-5)

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Solution for 98=(x+10)(3x-5) equation: 


Simplifying
98 = (x + 10)(3x + -5)

Reorder the terms:
98 = (10 + x)(3x + -5)

Reorder the terms:
98 = (10 + x)(-5 + 3x)

Multiply (10 + x) * (-5 + 3x)
98 = (10(-5 + 3x) + x(-5 + 3x))
98 = ((-5 * 10 + 3x * 10) + x(-5 + 3x))
98 = ((-50 + 30x) + x(-5 + 3x))
98 = (-50 + 30x + (-5 * x + 3x * x))
98 = (-50 + 30x + (-5x + 3x2))

Combine like terms: 30x + -5x = 25x
98 = (-50 + 25x + 3x2)

Solving
98 = -50 + 25x + 3x2

Solving for variable 'x'.

Combine like terms: 98 + 50 = 148
148 + -25x + -3x2 = -50 + 25x + 3x2 + 50 + -25x + -3x2

Reorder the terms:
148 + -25x + -3x2 = -50 + 50 + 25x + -25x + 3x2 + -3x2

Combine like terms: -50 + 50 = 0
148 + -25x + -3x2 = 0 + 25x + -25x + 3x2 + -3x2
148 + -25x + -3x2 = 25x + -25x + 3x2 + -3x2

Combine like terms: 25x + -25x = 0
148 + -25x + -3x2 = 0 + 3x2 + -3x2
148 + -25x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
148 + -25x + -3x2 = 0

Factor a trinomial.
(4 + -1x)(37 + 3x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(37 + 3x)' equal to zero and attempt to solve:

Simplifying
37 + 3x = 0

Solving
37 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-37' to each side of the equation.
37 + -37 + 3x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 3x = 0 + -37
3x = 0 + -37

Combine like terms: 0 + -37 = -37
3x = -37

Divide each side by '3'.
x = -12.33333333

Simplifying
x = -12.33333333
Solution
x = {4, -12.33333333}

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