2x(5x-7)+5(5x-7)=

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Solution for 2x(5x-7)+5(5x-7)= equation:


Simplifying
2x(5x + -7) + 5(5x + -7) = 0

Reorder the terms:
2x(-7 + 5x) + 5(5x + -7) = 0
(-7 * 2x + 5x * 2x) + 5(5x + -7) = 0
(-14x + 10x2) + 5(5x + -7) = 0

Reorder the terms:
-14x + 10x2 + 5(-7 + 5x) = 0
-14x + 10x2 + (-7 * 5 + 5x * 5) = 0
-14x + 10x2 + (-35 + 25x) = 0

Reorder the terms:
-35 + -14x + 25x + 10x2 = 0

Combine like terms: -14x + 25x = 11x
-35 + 11x + 10x2 = 0

Solving
-35 + 11x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -2x)(7 + -5x) = 0

Subproblem 1

Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4

Solution

x = {-2.5, 1.4}

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