(-7x+1)(10x+9)=

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Solution for (-7x+1)(10x+9)= equation:


Simplifying
(-7x + 1)(10x + 9) = 0

Reorder the terms:
(1 + -7x)(10x + 9) = 0

Reorder the terms:
(1 + -7x)(9 + 10x) = 0

Multiply (1 + -7x) * (9 + 10x)
(1(9 + 10x) + -7x * (9 + 10x)) = 0
((9 * 1 + 10x * 1) + -7x * (9 + 10x)) = 0
((9 + 10x) + -7x * (9 + 10x)) = 0
(9 + 10x + (9 * -7x + 10x * -7x)) = 0
(9 + 10x + (-63x + -70x2)) = 0

Combine like terms: 10x + -63x = -53x
(9 + -53x + -70x2) = 0

Solving
9 + -53x + -70x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -7x)(9 + 10x) = 0

Subproblem 1

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 = 0.1428571429

Subproblem 2

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

Solution

x = {0.1428571429, -0.9}

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