(x-7)(x+9)-(-7x+4)(x+9)=

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Solution for (x-7)(x+9)-(-7x+4)(x+9)= equation:


Simplifying
(x + -7)(x + 9) + -1(-7x + 4)(x + 9) = 0

Reorder the terms:
(-7 + x)(x + 9) + -1(-7x + 4)(x + 9) = 0

Reorder the terms:
(-7 + x)(9 + x) + -1(-7x + 4)(x + 9) = 0

Multiply (-7 + x) * (9 + x)
(-7(9 + x) + x(9 + x)) + -1(-7x + 4)(x + 9) = 0
((9 * -7 + x * -7) + x(9 + x)) + -1(-7x + 4)(x + 9) = 0
((-63 + -7x) + x(9 + x)) + -1(-7x + 4)(x + 9) = 0
(-63 + -7x + (9 * x + x * x)) + -1(-7x + 4)(x + 9) = 0
(-63 + -7x + (9x + x2)) + -1(-7x + 4)(x + 9) = 0

Combine like terms: -7x + 9x = 2x
(-63 + 2x + x2) + -1(-7x + 4)(x + 9) = 0

Reorder the terms:
-63 + 2x + x2 + -1(4 + -7x)(x + 9) = 0

Reorder the terms:
-63 + 2x + x2 + -1(4 + -7x)(9 + x) = 0

Multiply (4 + -7x) * (9 + x)
-63 + 2x + x2 + -1(4(9 + x) + -7x * (9 + x)) = 0
-63 + 2x + x2 + -1((9 * 4 + x * 4) + -7x * (9 + x)) = 0
-63 + 2x + x2 + -1((36 + 4x) + -7x * (9 + x)) = 0
-63 + 2x + x2 + -1(36 + 4x + (9 * -7x + x * -7x)) = 0
-63 + 2x + x2 + -1(36 + 4x + (-63x + -7x2)) = 0

Combine like terms: 4x + -63x = -59x
-63 + 2x + x2 + -1(36 + -59x + -7x2) = 0
-63 + 2x + x2 + (36 * -1 + -59x * -1 + -7x2 * -1) = 0
-63 + 2x + x2 + (-36 + 59x + 7x2) = 0

Reorder the terms:
-63 + -36 + 2x + 59x + x2 + 7x2 = 0

Combine like terms: -63 + -36 = -99
-99 + 2x + 59x + x2 + 7x2 = 0

Combine like terms: 2x + 59x = 61x
-99 + 61x + x2 + 7x2 = 0

Combine like terms: x2 + 7x2 = 8x2
-99 + 61x + 8x2 = 0

Solving
-99 + 61x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x)(11 + -8x) = 0

Subproblem 1

Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 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 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9

Subproblem 2

Set the factor '(11 + -8x)' equal to zero and attempt to solve: Simplifying 11 + -8x = 0 Solving 11 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 0 + -11 -8x = 0 + -11 Combine like terms: 0 + -11 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375

Solution

x = {-9, 1.375}

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