(2x-7)(10x+9)=

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Solution for (2x-7)(10x+9)= equation: 


Simplifying
(2x + -7)(10x + 9) = 0

Reorder the terms:
(-7 + 2x)(10x + 9) = 0

Reorder the terms:
(-7 + 2x)(9 + 10x) = 0

Multiply (-7 + 2x) * (9 + 10x)
(-7(9 + 10x) + 2x * (9 + 10x)) = 0
((9 * -7 + 10x * -7) + 2x * (9 + 10x)) = 0
((-63 + -70x) + 2x * (9 + 10x)) = 0
(-63 + -70x + (9 * 2x + 10x * 2x)) = 0
(-63 + -70x + (18x + 20x2)) = 0

Combine like terms: -70x + 18x = -52x
(-63 + -52x + 20x2) = 0

Solving
-63 + -52x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -10x)(7 + -2x) = 0


Subproblem 1
Set the factor '(-9 + -10x)' equal to zero and attempt to solve:

Simplifying
-9 + -10x = 0

Solving
-9 + -10x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -10x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -10x = 0 + 9
-10x = 0 + 9

Combine like terms: 0 + 9 = 9
-10x = 9

Divide each side by '-10'.
x = -0.9

Simplifying
x = -0.9

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-0.9, 3.5}

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